Confused Emoji Copy and Paste

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( ⧉ ⦣ ⧉ )

⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣦⣌⡻⢶⣄⠀⠀⠀⢀⣴⣾⠿⠿⠿⢿⣶⣄⣠⣴⡾⠿⠿⠿⢷⣦⣄⠀ ⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡹⣷⣄⣠⣿⠟⠀⠀⣀⣀⡀⠈⢻⡿⠃⠀⢀⣀⡀⠀⠘⢿⣆ ⠀⢀⠐⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢿⣿⣯⣄⣤⣿⣿⣿⡗⠀⢨⣇⣠⣰⣿⣿⣿⠃⠀⢸⣿ ⢠⢂⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣟⡛⣻⣿⠟⠁⢀⣰⣿⠛⠛⣻⣿⠋⠀⢀⣴⡿⠃ ⠦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣛⣟⡻⡝⣭⢃⠭⠹⣿⣿⡜⣿⣜⣿⣏⠀⢠⣿⠛⠁⠀⠀⣿⡃⠀⣴⣿⠋⠀⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡻⣝⣣⢽⡺⣬⢳⣎⢷⡹⣖⢯⣚⡵⢊⢿⣷⡹⣿⣽⡟⠛⢻⣿⠀⠀⠀⠀⣿⠟⠛⢻⣧⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣻⢲⡽⣜⡳⢏⢮⢳⡙⢧⢳⣎⢷⡹⣞⣧⢻⡼⣍⢞⡻⣿⣽⣿⣧⣤⣼⣿⠀⠀⠀⠈⣿⣇⣤⣽⡯⠀⠀⠀ ⢺⣿⣿⣿⣿⣟⣯⢷⡹⢮⡵⢣⣞⠶⣹⢎⣎⠳⣌⠣⢇⢮⠳⣏⠷⣚⢷⡽⣘⢮⠲⡽⡌⢿⣿⡍⠉⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀ ⣻⣿⣿⣿⣿⣳⢎⡷⣛⡧⣏⠷⣎⠽⡱⢪⠜⡳⣌⠻⢌⠲⣉⠖⡩⠞⣼⣳⣯⣮⣷⣱⡩⠌⣿⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡽⣿⣿⣿⣿⡳⢯⡽⣝⡾⣭⢟⡼⢢⠙⠥⣊⠱⡈⠷⣀⢣⠶⣼⣷⣿⣿⢿⣿⣛⣿⣿⣷⠹⣿⣷⡘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⢻⣿⣿⡿⣝⡯⣷⢻⡜⢧⣚⡴⣣⣙⣦⣱⢧⣘⣴⣦⣷⣿⣿⣿⡿⣿⣾⣿⣿⣿⢿⢿⡳⡜⣿⣿⡼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡌⣿⣿⣿⣱⢻⣎⢷⣽⣿⣿⣿⣿⣿⣿⣿⡿⣿⣥⢦⡹⢿⣿⣿⣶⣝⣻⣿⢷⡹⢎⡳⣟⡜⣳⣿⣇⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣷⣼⣿⣿⡱⣏⠾⣿⣟⢯⣴⣶⣾⡾⢟⣿⣿⣿⡿⢣⠜⣭⣿⣻⣿⡜⣏⢎⠧⡱⣍⠶⡱⡞⣽⣿⣟⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣟⡛⣿⣿⡳⣭⣟⢦⣽⣿⣿⣛⣿⣽⣿⣟⠻⣼⡱⣏⡞⡴⢫⢿⣿⣾⣶⣌⡲⠑⡎⡵⣛⠼⣹⣿⣟⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⢿⣟⣶⢫⡿⣿⠱⡞⢿⡛⢯⡱⢎⡝⣶⣿⣿⢧⠓⡍⢮⣹⡟⣼⣿⣷⣯⣔⣣⡝⣞⣷⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢹⣿⣌⣿⣿⣚⣯⣿⣏⠳⣘⠥⡛⠦⣉⣶⡿⡟⣥⢋⣜⣦⣜⣦⣿⣿⣿⣷⣻⣿⣮⢷⡹⢾⣿⣎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣄⢻⣾⡝⣢⢟⣿⡷⢎⡳⣌⢦⡁⠖⣼⡿⢡⡙⠾⢿⣻⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⢺⡝⣯⢿⣺⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣦⢻⣿⣖⣬⣿⣯⢯⠷⣭⣖⡹⣎⡽⣒⢧⣹⣟⣾⢿⡛⣍⣻⣼⣶⣿⠿⢿⣿⣿⢣⣿⣹⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣮⡛⣭⢟⣾⣯⣟⡷⣭⢷⡹⣶⣽⣾⣿⣿⣿⣾⡿⠾⠟⠋⠁⠀⢀⣼⣿⣟⡳⣾⡽⡞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⢶⣭⣬⣿⣞⡷⢯⢯⡗⣯⢿⣿⣿⣁⡀⠀⠀⣀⣀⣠⣴⣾⢿⡻⣜⣮⡽⡶⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⡹⢧⣻⣜⡳⣎⢟⡿⢿⡿⣿⠿⡟⢟⡹⣌⣷⣽⡞⣶⣹⢳⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣶⣻⣭⢳⡾⣱⣏⡞⣼⢣⡟⡶⣷⣾⣿⣿⣿⡿⢯⡽⣖⢯⣻⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣾⡝⣞⣧⡻⣜⣧⢻⣜⡳⣙⢮⡝⢯⡳⣝⣳⢻⣎⣷⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣶⣻⡵⣞⢧⡞⣵⢫⠞⡜⣣⠳⣜⢮⣳⣞⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣯⣷⣯⣷⣵⣿⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠞⠛⠛⠓⠒⠲⠶⠦⢤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⢰⢗⣯⣲⡀⠀⠀⢀⣴⣾⣯⣗⢦⡀⠀⠀⠀⠀⠀⠀⢻⡄ ⠀⠀⠀⠀⠀⠀⣾⢸⣿⣿⣹⠀⠀⣾⢸⣿⣿⣿⣷⠙⣆⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⣿⢎⡻⣿⠞⠀⠀⠘⠾⣿⣿⣿⠟⣠⠞⠀⠢⡀⠀⠀⣸⠃ ⠀⠀⣀⣀⡀⠀⠹⡄⠉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢡⢆⢆⠀⠰⠀⣰⠏⠀ ⢀⣤⣧⣸⠛⠓⢦⣹⠞⢳⣭⣍⠙⠛⠓⠀⠁⢄⠀⠀⠊⢂⣠⡴⠟⠁⠀⠀ ⢸⣸⠋⠙⠣⣄⠀⠙⠦⣺⠀⠈⡷⠶⠦⠤⠤⠶⠖⠚⠋⠉⠁⠀⠀⠀⠀⠀ ⠸⣨⠓⢄⡀⠈⠃⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠫⣷⣤⣉⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠳⢤⣁⡀⣀⣀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⡶⠾⠛⠛⠛⠛⠛⠛⠳⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⡀⠀⠀⠀⠀ ⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀ ⣿⠀⠀⠀⠴⢶⣶⣶⣶⡶⠶⠶⠶⠶⠶⠶⠶⣶⣶⣶⡶⠶⠀⡀⠀⣿⡀ ⣿⠀⠀⠀⠀⠘⢿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠇⠀⢀⠁⠀⢸⡇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠆⠀⠀⣿⠁ ⢹⣇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⢀⠊⠀⠀⢰⡟⠀ ⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⢠⡿⠁⠀ ⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⢀⣴⠟⠀⠀⠀ ⠀⠀⠀⠈⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠶⢦⣤⣤⣀⣀⣤⣤⣴⠶⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢷⡄⠈⡓⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠂⢹ ⠈⡷⡄⠈⠲⢤⣈⠻⠉⠛⠉⠉⠁⠒⠖⠉⠉⠉⠒⠶⢦⣤⠴⠒⢉⣡⠴⠀⢀⠏ ⠀⢸⡿⡂⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡞⠉⠀⢀⣠⡞⠀ ⠀⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢠⡼⡟⠀⠀ ⠀⠀⡼⠋⠀⣤⣀⠀⠀⠀⠀⠀⠈⠐⣂⣄⠀⠀⠀⠀⠀⠀⠀⢀⠀⣰⡟⠁⠀⠀ ⠀⢠⡇⠀⠀⠘⠛⠃⠀⠀⠀⠀⠾⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀ ⠀⢸⡇⢺⡀⠀⢠⡒⠠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠸⡇⠀⠀⠀ ⠀⢸⡇⣘⠑⡀⠀⠙⢏⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⣔⣇⠀⠀⠀ ⠀⢸⡇⡁⠀⢳⣶⣾⣷⣦⣄⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠸⡇⠁⠀⠀⢏⠉⠀⠀⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡏⠀⠀⠀ ⠀⠀⠯⣀⣈⣀⣈⣐⣲⣄⣄⣤⣴⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣛⡧⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⠤⠤⠤⠤⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠐⢈⡡⠄⠀⠀⠀⠀⠀⠂⠠⢄⡁⠒⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⢉⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⡈⠢⡀⠀⠀⠀ ⠀⠀⡠⢃⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠈⢂⠀⠀ ⠀⡐⣀⣊⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣑⣀⢣⠀ ⢰⠀⢿⡟⠉⠉⠀⠀⠈⠉⠉⠙⢶⣶⣶⡶⠚⠉⠉⠉⠉⠉⠉⠉⢹⡿⠀⡆ ⡄⠀⠸⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠏⠹⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⠁⠀⢸ ⡇⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸ ⢃⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⢸ ⠘⡀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⢀⠇ ⠀⠱⠀⠀⠀⠀⠀⠀⠙⠳⢒⡤⠤⠀⠀⠤⠤⣐⠾⠋⠀⠀⠀⠀⠀⠀⡞⠀ ⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠀⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠒⠒⠒⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠋⠉⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⢼⣿⣿⣷⣦⣄⣀⡄⠀⣀⣤⣶⣿⣿⣿⠄⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⢻⣿⡇⠀⠿⠟⠋⠉⠙⣿⣇⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⢻⣿⠁⠀⠀⠀⠀⢠⣤⣿⣦⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⣜⠁⠀⠈⠑⣦⣄⣀⡎⢹⠀⠀⣀⣠⣼⡏⠁⢀⣿⡆⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⣆⡀⠀⠀⠙⠛⣋⣽⣿⣿⣉⡙⠛⢋⣤⣶⣿⣽⡇⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠻⣟⣶⣶⣒⣫⡽⠞⠋⠉⠛⠯⣽⣿⣾⣿⡾⣟⠀⣦⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⢉⣥⣶⣿⣿⡧⠹⣷⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⡿⠁⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠘⣆⠀⠠⠈⠉⠀⠀⠀⠀⠉⠉⠑⠺⠿⣿⣉⣉⡇⣠⣷⣾⠿⢛⣡⣤⣴⡿⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⣦⡀⠀⠘⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣭⠽⠟⠛⠋⢉⣷⡿⠁⠀⢀⣾⠟⠳⣄⠀⠀ ⠀⠀⠀⠀⠘⣿⡟⠀⠀⠈⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠏⠀⠀⠀⠀⠹⠀⠀⠈⠳⣄ ⠀⢀⡀⠀⠀⠸⣇⠀⠀⠀⠀⠈⠻⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠾⠋⠀⠀⠀⠀⠀⠀⢰⠀⣠⣶⡾⢿ ⠰⣼⣿⣲⣤⡀⣹⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⡷⠶⠶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣿⡤⠧⠏ ⠀⠙⠛⠛⣱⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀ ⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⠛⢻⣷⠿⠿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⢸⡋⠋⠽⠽⢷⣤⣀⠀⠀⠀⢠⡏⡀⠘⢤⡸⠿⠛⠋⠙⣶⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣋⠀⠀⠉⠀⠀⠀⠀⠀⢽⣷⡀⠀⠸⣝⠳⣄⠀⠀⠀⣀⣀⣠⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢮⡓⠦⠤⠤⠤⠒⠒⠚⣻⣿⣷⠀⠀⠈⠙⢎⡉⣉⣁⣀⣀⡤⠶⠿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠒⠒⠒⠒⠛⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣷⣶⣤⣑⢦⠀⢀⡴⠚⠉⠓⢢⡴⠒⠉⠑⠢⡀ ⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠑⣾⣄⣴⣿⠇⢀⣅⣠⣾⠖⠀⡰ ⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠻⣷⢹⣀⡾⠁⣴⠟⠁⢸⠁⣠⠞⠁ ⢸⣿⣿⣿⣿⣿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⣧⢣⡏⠉⣿⠀⠀⢸⠉⣿⠀⠀ ⢸⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢿⠛⠁⠀⠀⠈⠛⠋⠀⠀ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠶⡶⡶⡄⢸⡝⣦⠀⠀⠀⠀⠀⠀⠀ ⡌⣿⣟⠀⠀⠀⣀⣤⣤⣤⣄⡄⠐⢾⣿⡚⢿⣛⠛⠃⠀⠻⡜⡄⠀⠀⠀⠀⠀⠀ ⣹⣜⣿⠀⠀⠞⢋⣡⣿⣚⡷⠿⠀⠀⣝⡍⠉⠁⠀⠀⠀⢻⡏⣷⠀⠀⠀⠀⠀⠀ ⣿⣭⠿⠄⠀⠐⠋⠥⠚⠋⠀⣠⡄⠀⠈⠛⢓⣤⡀⠀⠀⡈⣧⠃⠀⠀⠀⠀⠀⠀ ⡇⢧⠰⠃⣴⠃⠀⠀⠀⢠⠞⠁⠤⠤⣤⣾⣋⡠⣷⠀⠀⡇⡿⠀⠀⠀⠀⠀⠀⠀ ⠙⢌⠳⣄⡼⠀⠀⠀⠀⠀⠀⣠⠴⠞⢉⣩⠵⠶⣿⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠑⢤⣀⣸⠀⠀⠀⠀⢿⡟⠛⠉⠉⣀⣠⠞⠉⠀⠠⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣖⠀⠀⠀⠀⠉⠉⠉⣉⣉⣠⡤⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠲⠦⣤⣀⣀⣀⣀⣀⣴⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠐⠂⠀⠈⠉⠉⠀⠒⠂⠤⣠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣒⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠒⠄⠀⠀⣼⣿⠿⢿⣷⣕⢄⠀⠀ ⠀⠀⡐⠁⣤⣀⣀⣀⣀⣀⣀⣀⣠⣤⣾⠀⢠⠇⠀⠀⡿⠁⠀⠀⠀⠙⠊⡆⠀ ⠀⡰⠀⠀⠀⡀⠭⠛⠉⠉⠉⠛⠫⢍⠁⠀⠈⠀⠀⠀⠃⠀⣠⠖⠀⠒⢌⢇⠀ ⢠⠁⠀⡠⠊⢀⣠⣤⣤⣀⡀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⣰⣥⣤⣄⠀⠈⢊⡄ ⢼⠀⠰⢡⣾⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⡄⠀⠀⠀⠀⣿⣿⣿⣿⣷⡀⢸⡇ ⢸⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⠁⢸⡇ ⢸⠀⢃⠹⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⢠⠃⠀⠀⠀⠀⢹⠻⠿⠛⠁⠀⡘⡄ ⠀⡆⠈⢢⡀⠉⠉⠋⠉⠉⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠓⢄⣀⣀⠌⢀⠁ ⠀⠘⡄⠀⠈⠒⠤⢀⣀⣀⣀⠠⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀ ⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠀⠀⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠤⣀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠱⣄⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠂⠤⠤⠤⠤⠤⠄⠒⠒⠓⠂⠊⠀⠀⠀⠀⠀⠀

⣤⡶⠛⣉⣋⠛⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠀⣾⣿⣿⣿⠀⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⡀⣘⡿⣷⠟⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠟⠿⣽⡇⢰⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣴⡦⠀ ⠀⠀⠀⣸⣇⣸⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣦⣤⣤⣄⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⣡⣤⣧⡈⠹⡗ ⠀⠀⠀⣷⡏⠀⢹⣷⠀⠀⠀⠀⢀⣠⣴⣾⣿⠿⠶⠞⢛⣫⣭⣭⣝⣽⣿⣿⣿⣿⣻⡛⢦⣄⡀⠀⠀⠀⠀⠀⠀⢨⣅⠀⣿⣾⣟⡿⠀⣹ ⠀⠀⠀⠓⠛⠷⠟⠿⠀⠀⣤⣾⣿⠷⠛⠁⠀⣠⣴⣾⠿⠛⠛⠿⠛⠉⠉⠉⠙⠋⠙⠛⠷⣮⣳⣆⡀⠀⠀⠀⠀⠀⠉⢿⡯⠟⠛⢁⣠⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⡿⠋⠀⠀⠀⣰⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠙⣦⠀⠀⠀⠙⢮⡿⣄⠀⠀⠀⠀⣤⣾⠁⣴⢾⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣷⠏⠀⠤⠈⢀⣾⡿⠋⠀⠀⠀⠀⢸⡃⠀⠈⠀⡀⠀⠠⠀⠸⣇⠀⠀⠀⠀⢻⣞⢧⡀⠀⢸⡷⠛⢶⣿⡛⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣳⠏⠀⢀⠂⢀⣿⡟⠀⢀⡄⠀⠀⢀⣿⠀⠀⠀⢰⠇⠀⠐⠀⠀⣿⡀⠀⠀⢳⡀⠹⣏⣷⠀⢚⣷⣀⣤⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡟⠀⢈⠀⠀⣼⡟⠀⠀⣇⠀⠰⠚⢛⡯⠁⠐⠀⢸⠆⠀⠈⠀⠀⢹⡏⠑⠀⠈⣷⠀⢹⣟⡇⠀⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⠃⠀⢂⠀⢠⣿⠁⠀⠐⣿⠀⠀⠀⣾⡇⠀⠐⠀⣹⠆⠃⠈⠀⢠⡞⣷⠀⠀⠀⢿⡀⠈⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⠀⡀⠂⠄⣸⡿⠀⠀⢈⣿⠀⠀⠀⣿⣗⠀⢀⠀⣽⡆⠁⠀⠀⢰⣏⣿⡃⠀⠀⢸⡇⠀⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡏⣟⠀⠠⢁⠢⢸⡏⠀⠁⢈⣷⠀⠀⠐⣿⣿⠀⠀⠀⣿⡇⣶⠀⠀⢸⣧⣟⣇⠀⠀⣿⡇⢠⡜⣧⢿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣷⣏⠀⣷⠛⠀⣿⡇⠀⠀⢈⣿⣀⣠⣴⣿⣿⣻⣤⡴⣿⣧⡿⣤⢦⣾⣷⣿⣿⣶⣶⣿⡇⠈⣿⡹⣯⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣽⣽⠃⢰⡏⠁⣸⣿⡇⠀⡀⠠⣿⣿⣿⣿⣿⣿⣿⣍⠁⠀⠀⠀⠀⠀⣹⣿⣿⣷⣬⡽⢿⡇⠀⣹⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⡟⠀⣾⠃⢀⣾⣿⣿⠀⡁⠀⣿⠀⢻⣿⣿⣾⣿⣿⠀⠀⠀⠄⠀⠀⢸⣿⣿⣿⣿⠇⣿⠀⣷⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣹⠀⢰⣿⠀⢨⣟⡿⣽⡆⠀⡀⢿⡀⠈⠻⠾⣽⠟⠃⠀⠀⠀⠀⡁⠀⠀⠙⠛⠋⠁⡘⣷⠀⢿⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⠀⢸⡿⡀⠈⡿⣷⢸⡇⢻⡄⢺⡅⠐⢄⢠⠀⢀⠀⠈⠀⠈⠀⠀⠈⠀⠄⢂⠂⡑⠀⣿⠆⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣽⡆⠘⣿⣷⡀⢱⠻⣦⣟⠸⣇⠼⣇⠈⠄⠠⠈⠀⡀⠄⠀⠄⠀⠄⢀⠁⠠⠀⠀⣀⣴⡟⠡⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⣹⣆⡹⣶⢋⡔⢣⢜⣻⣎⣿⢀⢿⣄⣀⠀⠁⠀⠀⠀⠀⠀⡄⠀⠀⣀⣠⣤⡶⣿⡏⢄⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣯⢻⣯⣷⣬⣃⢾⡣⢿⣞⣧⢚⣿⠛⠻⠿⢶⣶⣶⣶⣶⣾⢿⣛⠻⣭⣓⣶⣿⡇⢎⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢻⣿⣬⣿⣿⣿⣿⣾⡿⣯⢿⣏⣿⡌⠱⢌⠆⡆⣌⣩⠳⠙⢷⣾⣿⣻⢿⣿⣾⣙⢾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡨⢒⣹⣿⣿⣿⣿⡿⢃⣽⣿⡿⣿⣞⣷⠯⠶⡼⣴⣤⣤⣤⣤⠾⣿⣿⣿⡿⣯⣿⣼⣿⣿⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⢠⡾⢿⣯⣿⣿⣧⣸⣿⣯⣿⠁⠀⠉⠉⠀⢀⣀⣀⣀⣠⣀⠀⠀⠙⢿⣶⣟⣿⣿⣾⣶⣟⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⢀⠄⠚⠉⠉⠀⠀⠀⠀⠀⠀⠉⠀⠒⠠⣤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠟⣹⡏⠢⣾⣿⡇⠀⠀ ⠀⠀⢀⠔⢀⣀⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣤⡄⠈⣿⣇⡄⠀ ⠀⢠⢢⡶⠛⠉⠉⠉⠛⠛⠳⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠖⠀⠀⢴⠜⡄⠀ ⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡈⡄ ⡄⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣀⣀⠀⠀⠀⠀⠛⠛⣛⣿⠿⠿⠿⠿⠿⠯⣥⣤⣰ ⠃⣠⡶⠞⠋⠉⠉⢡⡄⠀⠀⠉⠉⣻⡆⠀⠀⠀⣾⣉⠀⠀⠀⣘⣁⣤⣤⡶⠟⠁ ⠸⣯⣀⣀⣀⣀⣀⣀⣠⣤⡶⠶⠟⠉⠀⠀⠀⠀⠈⠉⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀ ⡆⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃ ⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀ ⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢋⣉⣽⣷⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀ ⠀⠀⠀⠀⠈⠂⢀⠀⠀⠀⠀⠀⠘⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⡀⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⠄⣀⡀⠀⠀⠀⠀⢀⣀⠀⠤⠐⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡴⠖⠚⠛⠉⠁⠀⠀⠀⠀⠉⠉⠙⠲⢥⡐⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢦⡑⢄⠀⠀⠀ ⠀⢀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⣎⣂⠀⠀ ⢀⣞⡟⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢶⡄⠀⠀⠘⣏⠂⠀ ⡾⡾⠀⠀⠀⠀⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀ ⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣤⣶⣤⣤⣀⠀⢷⠀ ⣿⠀⣠⡴⠶⠖⠚⠛⠛⠳⢦⣄⡀⠀⠀⠀⢀⣾⠞⠋⠀⣀⣀⣀⠀⠉⠛⣿⠀ ⣿⣼⠋⠀⣀⣤⣴⣶⣶⣤⡀⠈⠻⣦⡀⢠⡟⠁⠀⣴⣿⣿⣿⣿⣿⣶⡀⢻⠀ ⡿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⡆⠀⠘⡷⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⢁⣿⠀ ⢷⢻⣧⠈⠻⣿⣿⣿⣿⠿⠛⠁⢀⣰⠇⠻⣆⡀⠀⠀⠙⠛⠋⢉⣡⠴⢻⡟⠀ ⠀⢳⠻⣷⣄⣀⠀⠉⠀⣀⣠⡶⠋⠁⠀⠀⠈⠙⠛⠒⠒⠛⠉⠉⠀⣠⣟⠞⠁ ⠀⠀⠑⣝⣿⣍⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣋⠊⠀⠀ ⠀⠀⠀⠀⠑⠽⣷⢦⣄⠀⠀⣠⣤⣤⣤⡤⠶⠖⢒⣻⣷⢾⡿⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠚⣽⠟⠳⠶⠶⠶⢶⣶⠏⠙⠃⠊⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣤⣶⢶⡶⣶⢶⡶⣶⢶⣷⣾⣷⣼⣇⡀⠙⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⣈⣵⣾⡿⠿⠿⠿⠛⡡⠌⡄⢢⠐⡄⢂⠔⡀⢆⠨⢄⡉⡉⠛⠻⣷⣦⣇⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⢂⣴⡿⠟⢋⠡⠐⡂⠔⠢⡑⢄⠃⡌⢄⠃⢌⠂⡜⠐⡌⠒⡄⠢⢑⡈⠡⢄⣉⠿⢿⣮⡹⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠟⣴⣿⠋⡡⢘⠄⡃⡑⢈⠆⠱⢐⡈⠒⢌⠢⢉⠢⡑⢌⠡⢂⠱⢈⡑⢢⠈⡅⢂⠤⠙⢦⡛⣷⣮⠙⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⡰⢁⣾⡟⠠⡘⠤⢁⠎⡐⢈⠢⠘⡄⢃⠤⢉⠰⡈⢆⠱⡀⢎⠰⠁⠎⡰⢀⠃⡘⢠⠃⡄⢣⢈⠙⢮⠹⣿⡌⠷⣄⠀⠀⠀ ⠀⠀⣰⢇⣿⠏⠤⡑⠄⠣⠌⠒⡈⠤⠑⣈⠐⠢⢌⠢⠑⡰⢈⠢⡐⠌⢂⠍⡰⠐⢨⣴⣥⣆⣌⡠⠡⠌⢂⡌⢣⡙⣿⡖⢿⡆⠀⠀ ⠀⣰⣯⣿⠏⡰⠡⠌⡌⢁⢊⠡⣘⣤⣷⣦⡌⠁⢆⠢⡑⠄⢣⠐⡡⢊⠔⡨⢐⡁⠊⠝⠻⠿⠿⣿⣷⣎⠰⡐⠠⠙⡜⣿⡆⠹⡄⠀ ⣴⣏⣽⡟⡐⠣⢑⡈⠰⢈⣎⣷⣿⠿⠛⡙⢠⢉⠢⢑⡈⠜⡠⠑⡄⢣⠈⡔⠡⢌⠱⣈⠁⠆⠒⡠⠛⢇⠠⣁⠣⢁⠢⢹⣿⡀⠹⡀ ⣿⣳⣿⠡⠌⡑⠢⣈⢁⠚⣿⠿⣁⠢⢁⠆⢡⠂⢅⠢⠌⡰⢀⠣⠘⡄⠱⡀⢃⠆⠢⠄⡩⠘⢠⠁⡌⠤⠑⣀⠃⠆⡡⠂⢿⣧⠀⠃ ⣟⣿⡏⠰⣈⠔⠡⢂⠂⡌⡐⠰⢀⢂⠃⡘⢄⢊⡐⢢⠘⢠⠡⠌⡁⢆⠱⢈⠢⠌⡑⠰⡠⠵⣂⣞⣲⣬⣵⣀⣩⠐⡄⠱⢈⣿⣆⠀ ⣿⣿⢀⠃⠤⣘⠰⡦⢵⣒⣰⣡⣎⣤⣜⣀⠆⢂⠌⡄⢩⠐⡌⠰⡁⢌⠰⢁⢂⣲⢞⣫⣷⣿⠿⠿⠿⠿⠟⠛⠿⣿⣷⣧⣆⣼⣿⠀ ⣼⣇⢂⣉⣶⣿⣿⣿⡿⠿⠻⠛⠛⠛⠻⠿⣿⣷⣮⣄⡡⢒⠨⣁⠒⠨⣐⣼⣫⣿⡿⠟⠉⠀⠀⠀⣀⣀⢀⡀⠀⠀⠈⠙⠻⣿⣿⠀ ⣿⡇⣦⣿⡟⠁⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠈⠙⠻⣿⣦⣑⠢⢈⡱⣥⣾⠿⠋⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣷⣦⣄⠘⠀⢻⣿⠀ ⣿⣯⣿⠏⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠈⢻⣿⣦⡝⣣⣿⡟⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣹⣟⠀ ⣿⣿⣿⡀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣷⠀⠀⠀⠸⣿⣇⣿⡟⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⠁ ⣿⢿⣿⣇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣿⡿⣿⡅⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣀⣼⣿⣟⠇ ⣿⣾⢿⣿⣆⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⢀⣼⣿⢃⢿⣿⣤⠀⠀⠀⠀⠀⠈⠙⠛⠙⠋⠉⠁⣀⣴⣿⢟⣻⣿⠏⣠ ⠈⢻⣌⢿⣿⣦⡀⠀⠉⠛⠛⠿⠛⠛⠉⠁⠀⠀⢀⣠⣶⡿⠿⢃⠉⡤⠙⠿⢿⣷⣶⣤⣤⣤⣤⣶⣶⣶⡾⠿⣟⠹⣆⣻⣿⣟⣼⠇ ⠀⠀⢻⡌⢿⣿⣿⣶⣤⣤⣀⡀⣀⢀⣀⣀⣤⣶⣿⠟⢋⠄⡱⢈⠒⠤⣉⠐⢂⠤⢉⠛⡙⢋⠛⣍⢲⡰⣉⠳⣌⢻⣼⣿⢡⡾⠁⠀ ⠀⠀⠀⠙⢷⡙⢿⣿⣙⡻⠿⠿⢿⡛⢿⠛⢋⠍⡠⠌⡰⢈⠔⠨⡐⠡⢠⠉⢢⠘⠄⠣⢈⠂⡹⢌⡖⣡⢍⣷⣾⣿⠟⣱⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⡼⣟⢿⣿⣧⣙⠦⡙⣆⠏⡄⢊⠔⡈⠔⡁⢊⠔⠡⡑⢢⠘⠤⣈⢆⣑⣢⣥⣔⡌⣾⣵⣿⢟⣫⣷⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠷⣜⣻⣿⣷⣭⣆⠣⠄⢃⣤⣥⣎⣴⣥⣮⣶⣵⣾⣾⣿⠿⡿⣿⢻⣿⣿⠿⣿⣯⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣭⡛⣿⢿⣶⣬⣿⣟⣛⣻⣉⣋⣭⣩⣥⣦⣶⣶⢿⣻⡿⢋⣾⠻⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣷⢿⣭⢛⡛⣻⠛⡟⢻⡛⢻⣯⣽⣓⢒⣩⣙⣉⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠈⠑⠠⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡾⠟⠛⠛⠛⢃⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀ ⠀⠀⠀⠀⢠⠋⠟⠀⠀⣠⣤⠀⠀⠛⠋⣽⣍⠙⠛⠀⠀⠀⠀⠀⠀⠀⠘⠀ ⠀⢀⣀⣀⣀⣲⠀⠀⠸⣿⣿⠇⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠓⠀⠒⡆⠀⠘⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠁⠀⠀⢀⣠⣾⡿⠀⠀⠀⠀⡇ ⠀⠀⠀⠹⠀⠀⠆⠀⠀⠀⠐⢹⠀⠀⢠⣤⣤⣶⣾⣿⠟⠋⠀⠀⠀⠀⢠⠀ ⠀⠀⠀⠀⠁⠀⠈⢂⠀⠀⠰⡀⠑⠄⡈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⠂⠀ ⠀⠀⠀⠀⠀⠎⠉⠈⢭⠉⠉⠁⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⢀⡠⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠤⠤⠤⠐⠁⠀⠒⠂⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀

⡶⢫⣭⡝⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⣹⡿⢃⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠉⣗⣻⡃⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⢠⡀⢀⠀⠀⠀⠀⠀⠀⠀⡴⣚⣽⡛⢦ ⠀⠀⣿⣨⣗⠀⢀⣤⡶⠟⠛⣉⣽⣶⣯⠿⠿⠿⢯⣷⢤⡀⠀⠀⠀⢦⣼⣿⠇⣸ ⠀⠀⠀⠀⢀⣼⠟⠉⢀⣴⠟⠋⠀⡀⠀⠀⠀⠰⣆⠈⠙⢷⣆⠀⠀⣤⣏⣴⠾⠃ ⠀⠀⠀⢠⣿⠃⠈⢠⡿⠃⠀⠀⣸⡁⠀⢰⠀⠀⢸⡄⠀⣄⠻⣧⠐⣯⣩⠟⠀⠀ ⠀⠀⠀⣿⡇⠀⠂⣼⠃⢸⡄⠉⣽⠀⠀⣯⠀⠀⡘⣧⠀⢸⡄⢿⡇⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠆⠈⢄⡟⠀⣸⠄⠠⣿⠀⠀⣿⠀⠀⣽⢷⡀⠈⡇⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⢠⡭⢠⡇⠀⢼⣂⣰⣿⣦⣠⣿⢯⣄⣾⣿⣦⣼⡇⢲⣿⡇⠀⠀⠀⠀ ⠀⠀⣼⡏⣰⠃⣾⣇⠀⢺⠟⣿⣿⣿⡅⠀⠀⠀⣿⣿⣿⣹⠇⣼⣿⠃⠀⠀⠀⠀ ⠀⢐⣿⠁⣯⠐⣿⢻⣀⠸⡇⠙⠿⠛⠀⠀⡀⠄⠈⠛⢋⢸⡄⣿⣏⠀⠀⠀⠀⠀ ⠀⠈⣿⡌⣷⡌⠻⣽⡜⣎⡧⠐⠂⠐⠀⡀⠀⢀⠠⠁⠂⣼⢃⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠉⣷⢾⣇⡳⢸⢷⣧⢻⣤⣤⣄⣡⣠⣔⣤⡴⡞⣿⣃⣾⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⢿⣻⣿⣿⢾⣟⣯⣧⠰⠌⡍⠛⠹⣶⣿⣿⣿⢲⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣨⣾⣿⣿⣹⣾⡟⠙⠛⠉⡙⡙⣛⠉⠹⣿⣻⣿⣿⣝⡁⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⠛⢋⣉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣰⣿⣿⠃⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢁⣤⣆⠙⣿⢿⣻⣻⣿⠿⣿⠃⣰⣿⣳⠿⣟⣻⣛⢿⡻⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⣿⣿⣿⣿⠿⠟⠿⣿⣿⣿⣿⣿⣤⣿⣿⡟⢈⣿⣷⣛⠷⣎⠿⣽⡶⠟⣶⣯⣛⢧⡳⣝⢶⡹⣷⣏⣿⣿⣿⣿⣿⡽⣿⡿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⢀⣴⣶⡖⢹⣿⣿⣿⣿⣿⠷⣟⠀⣾⡟⡶⣭⢻⡭⣟⡞⣿⣴⢾⣫⠿⣎⣷⡹⣎⢷⣹⣿⣾⣿⡿⣿⣯⣿⢿⣷⣝⣿⣿⣿⣿⣿ ⣿⣿⣷⣾⣿⡿⢁⣾⣿⡿⣟⢏⡾⣹⣿⡟⠙⣯⢳⣭⢳⡝⣮⢽⣹⢾⣣⢏⡻⣭⣛⡷⣯⣾⣱⣻⣿⣿⣿⣿⡽⣿⣿⣯⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⣸⣿⣷⣾⣽⣾⣿⡛⣶⣹⢟⣿⡿⣌⠷⣛⣜⡣⣭⢻⣟⣯⣷⣣⢯⣝⡻⢶⢯⣳⡽⣿⣿⣿⣿⣷⣯⣿⣿⣾⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣀⣼⡿⢢⣟⡼⣲⡝⣶⢏⣾⣿⢳⣬⢷⡻⣭⢗⡾⣭⢷⡹⣞⣿⡟⣿⣻⣟⣾⣳⣛⢷⣻⣿⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢣⣟⣾⢳⢧⡿⢫⣾⢳⣿⡳⣎⢷⡹⣎⠿⣜⢧⣏⢷⣹⣿⡜⣧⢳⢮⡽⣷⡽⣾⣱⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢇⣻⣾⣏⣿⢞⣵⡟⣧⡿⣹⡗⣯⡳⢯⣝⡻⢮⢷⡺⣝⣾⣿⡞⣭⡟⣾⣹⣾⢿⣟⣷⣿⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⣾⣏⠿⣭⣛⡮⢷⣹⡿⢁⢼⡟⣧⢿⣹⢮⣝⣻⣮⡽⣳⣏⢿⣟⣧⣿⣟⡿⣽⣟⣾⣳⢯⣿⣽⣻⣟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣏⣾⣿⣯⣿⣵⣯⣞⣯⠟⡀⠊⠄⢿⣭⢿⣎⡷⣞⡵⣿⣼⡿⡜⢺⣿⣾⣟⣾⡽⣟⣾⣳⢯⣟⡾⣿⣷⢿⣾⣷⣯⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣣⣟⣮⣷⣾⠛⠛⠛⠛⠿⠶⣿⣿⡾⣵⢯⣽⢷⣻⡷⠿⣛⢿⣿⣞⣷⣻⣟⣾⣽⡿⠾⣿⣯⢻⣿⣿⣿⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢭⣿⣏⢿⣯⠠⣡⣦⣷⣶⣲⠆⢻⣿⣽⣳⣯⡿⣿⠸⣗⣾⣿⣿⣞⡷⣿⣿⢾⣶⣷⢾⡿⣞⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢞⡾⣟⣮⣷⢿⡏⢿⣿⣿⠿⠹⠾⠟⢻⣷⢯⣿⡇⡙⠭⢿⠿⢿⣾⣽⣿⣯⣟⡾⣽⣿⣻⣽⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⢿⣮⣿⠀⠛⠚⠛⠉⠁⠀⠠⠀⢀⠸⢿⣿⣧⠐⠂⠊⠙⢻⠟⣱⣿⣳⢿⣽⣿⣷⣻⢾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⣿⡟⢿⡇⠀⠂⠀⠀⠀⠐⠀⠀⠂⡘⠤⡙⠻⣷⣄⠁⢠⠊⠔⣿⣿⡽⣿⣿⣾⣯⣟⣿⣞⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⠈⣿⠀⠀⠀⠀⠂⠀⠀⡁⠀⡃⢆⠡⢃⠔⡨⢓⢃⡘⢌⢩⡐⢬⢹⡏⠙⣷⣹⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⢿⣿⣧⣸⡆⠈⠀⠀⠀⠀⡀⠀⠂⠱⢈⠆⡡⢊⠄⣃⠢⡘⢄⠒⡌⣢⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⣿⣿⡿⣿⣟⣿⣿⣿⡄⠈⠀⡀⠄⠀⣤⢦⡼⡴⣮⡀⠣⠌⡄⢣⠘⠤⢣⣼⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣄⡀⠀⢀⠈⠉⠈⢒⠙⢨⢁⠣⡘⢄⠃⣎⣱⣿⡿⣿⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣿⣿⣿⣾⣿⣿⣿⣿⠶⣄⠀⠐⠀⢈⡘⢄⠊⡔⡡⢎⣳⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢎⠛⡶⣤⣀⣌⣢⠵⣈⢕⣺⣿⣿⣿⣽⣿⡽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢿⣽⢻⣝⡧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠋⡴⢠⢍⡱⢂⠵⣈⣾⣿⣿⣿⣿⣿⣿⣿⣳⡽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿ ⡿⣭⡻⣜⣯⣞⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠍⡔⢃⠆⡔⡉⢆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⡍⢩⠁⢆⠒⡐⠢⢌⠩⡁⠖⢤⣤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠴⢊⠔⡨⠑⡌⢢⠉⢆⠱⣈⠱⡈⢆⠱⠸⠟⣽⡟⢢⣾⣿⡇⠀⠀ ⠀⠀⢀⡔⢩⣐⣥⣊⣔⡡⠘⠤⡉⢆⠒⡄⢣⠘⡄⢣⠑⢺⣿⣶⡄⠺⣿⣇⡄⠀ ⠀⢠⢫⡾⠟⡩⢉⠍⡛⠻⠿⠿⢃⠌⡒⢌⠢⡑⢌⠢⡉⢆⠰⠷⡈⠅⢶⠿⡄⠀ ⣠⠓⡌⠰⡁⢆⠡⢊⠔⡡⢂⠱⡈⢆⠱⡈⢦⣧⠈⢆⠱⡈⠜⣠⣑⣌⣦⣦⡹⡄ ⡏⠒⡌⡑⣌⣢⣑⣬⣦⣵⣬⣅⣘⡄⢣⠘⡌⢛⢛⣻⣿⠿⠿⢿⠿⠿⢯⣷⣤⣱ ⠃⣵⡶⠟⠛⠉⠉⢱⡆⠀⠈⠉⢉⣻⡷⢈⠔⡡⣿⣋⢀⢀⣀⣘⣣⣤⣤⡶⠟⡉ ⢸⣯⣄⣀⣀⣀⣀⣤⣤⣴⣶⠾⠟⡋⠔⡡⢊⠔⣈⠛⡛⢛⢋⠋⡍⢡⠂⡔⢡⠘ ⡆⡌⣉⠛⡙⢋⠭⡉⢅⠢⡐⢢⠑⡌⢢⠑⡌⠒⡄⢣⠘⡄⢊⠔⡘⢄⠣⡘⠤⢩ ⢧⡐⢄⠣⡘⠄⡆⠱⡈⢆⡑⢢⠑⡌⢢⠑⡌⠱⡈⢆⠱⡈⢌⠢⡉⢆⠢⡑⢌⢸ ⠘⣆⠌⢢⠑⡌⠰⢡⠘⠤⡘⢄⠣⡘⢄⠣⢌⠱⡈⢆⠱⡈⢆⠱⡈⢆⠱⡈⢦⠃ ⠀⠘⢎⡡⢊⠔⡉⢆⡉⢆⠱⡈⢆⠱⣈⢒⣌⣂⡱⢈⠆⡱⢈⠆⡱⢈⠆⣱⠃⠀ ⠀⠀⠈⠣⡌⢢⠑⢢⠘⡄⢣⠘⢤⡷⠟⢋⣉⣽⡿⢆⡘⢄⠣⡘⢄⢣⠜⠁⠀⠀ ⠀⠀⠀⠀⠈⠲⢍⠢⡑⢌⠢⣉⠚⠟⡛⢫⠉⡅⠒⠤⡘⢄⢣⣘⠖⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠒⠮⢔⣠⣉⠆⡑⠢⠑⣌⣱⢢⠵⢒⠉⠀⠀⠀⠀⠀⠀⠀

⡯⢯⡽⢭⢯⡝⣮⠽⣭⢫⡽⢭⣏⡳⣭⣿⡿⠋⢿⡵⣫⢽⣩⠯⣽⣩⠯⣝⡭⣏ ⣏⠷⣭⣛⢮⡝⣮⡝⣮⢳⡝⣳⣜⣷⣿⠋⠐⡄⢂⠹⣧⣛⡼⣹⢖⣣⢟⡼⣳⢭ ⣏⡟⣶⡹⢞⡼⣥⢻⡖⣏⠾⣵⣿⠟⢠⣾⣤⡐⢂⡐⠘⣧⣏⠷⣎⢷⣋⡾⣵⢫ ⡎⣷⡎⣹⠏⣾⣸⣇⣿⣾⣿⣿⡇⠀⢿⣿⣿⣿⡆⢀⢁⣿⡏⣿⡾⠏⠁⠰⣏⣷ ⡽⣲⡝⢧⣛⢶⢣⣞⣷⣿⣿⣸⢻⡄⡈⠻⠿⠿⠋⢤⣾⣯⠟⠁⠀⢀⣠⠜⣯⢖ ⡳⣇⢯⣳⡹⣮⣿⣿⡿⣜⣣⢯⣳⢻⣦⣐⣀⣦⣽⣿⡿⠁⠀⠀⣴⠋⠀⠀⠱⢯ ⡳⣝⡺⣴⣿⡿⠋⠄⡉⠷⣝⣮⢳⡳⣎⡟⣿⣛⢯⡟⠀⠀⠀⡽⠁⠀⠀⢀⠠⠊ ⣝⣎⣷⣿⠟⢱⣾⣿⣶⡀⠙⣾⣣⢟⡼⣳⢓⣮⡟⠀⠀⠀⡞⠁⠀⠀⡔⠂⠀⠀ ⡞⣼⣿⡏⢐⠸⣿⣿⣿⡿⠀⢼⣿⢎⡷⣽⣿⣿⣆⡀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀ ⣝⡞⡿⣽⣂⠆⣈⢉⢋⡙⢨⣼⣿⣎⠷⣿⠏⣹⣿⣷⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀ ⠿⣏⢷⣇⠿⣶⡀⠎⠰⣀⣿⢿⣷⡾⠿⣿⣿⣿⣿⣏⠀⠀⠀⠀⢀⣰⠆⠀⠀⠀ ⠀⠻⣷⣮⢻⡵⣛⠿⣶⠿⣟⣿⠋⠀⠀⠈⠉⠉⠉⠁⠠⣄⢠⣶⠟⠁⠀⠀⠀⠀ ⠀⠀⠈⢿⣧⣛⣭⢻⣜⡻⣼⡇⢀⡴⠂⠀⠀⠀⠀⠀⠀⣰⢿⡡⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⡷⣎⠷⣎⢷⣹⡗⠋⠀⠀⣀⠤⠂⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡠⠤⠤⠤⠤⠤⢤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⢀⣀⣀⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣧⣶⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡾⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣶⣶⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠻⢳⢸⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡿⠿⠿⢿⠿⠿⠿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠤⡾⠈⠀⠀⠀⠀⢀⣴⣿⣿⣦⡀⠀⠀⠀⠈⠉⠀⠀⢀⣴⣿⣿⣦⡀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⢀⡇⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⣶⡖⠒⠚⠐⠂⠉⠉⠉⠉⠉⠙⢻⡃⠀⠀⠀⠀⠀⠀⠛⠿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠙⠿⠶⠶⠶⠶⢒⣿⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡼ ⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⠀⠀⠀⠀⠀⠀⢸⡛⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⢹⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠒⠒⠚⢳⡄⠀⠀⠀⠀⠀⠈⢧⠀⠀⠘⢦⣄⠀⠀⠀⠉⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠈⠷⣄⠀⠀⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠖⠒⠒⠒⠒⠚⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠤⠤⠤⠤⠤⠤⢴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣁⣀⣀⠀⠀⠀⣀⣀⣀⣠⠤⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⣀⣀⣀⣀⣤⠤⠞⠉⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣏⡗⣫⡝⢮⡝⡺⣕⣫⢞⡱⣫⢜⡣⡝⣎⠳⣍⡞⣱⣙⢮⣱⢫⡕⣫⡕⣫⠝⣎⣳⡙⣎⡳⡹⣌⣳⣭⡿⠿⠿⠻⠟⠾⠷⣭⣵⡀⠀⠀ ⡞⡼⣱⢚⢧⡚⣵⢣⢞⣬⠳⡥⣏⢞⡱⣭⢛⢦⡝⣣⠞⣜⢦⡳⣙⢦⠽⣡⠟⣜⢦⠽⣸⢕⣣⣳⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀ ⡽⣱⢣⢏⠶⣙⢦⡛⡼⢲⣹⠱⡞⣬⢳⢬⢏⠶⣙⠶⣹⢎⢧⢳⠭⣎⢻⡌⡟⡼⢪⡝⣖⢫⠖⣿⣇⣤⣶⢾⠿⣿⣷⣶⣦⡀⠀⠀⠘⣷ ⠷⣥⢏⢮⡳⡭⢶⡹⡵⣋⡖⣫⠵⣣⢏⡞⣜⢫⡕⣫⢖⡫⢎⡝⡺⣍⠶⣙⢞⡱⢫⡜⣎⢧⢫⡝⣫⠝⣎⣎⠳⣼⣿⣿⠿⠁⠀⠐⢠⣿ ⣛⢦⢫⢎⡵⣙⢮⡱⢧⡝⡼⢥⣛⡴⢫⡼⣌⡳⣜⡱⣎⠵⣻⣼⡱⢮⣙⠧⡞⣭⢣⡝⡜⣎⡳⡜⣥⠻⣜⢬⣿⠟⠉⠁⠀⢀⣠⣴⡟⠃ ⡭⢎⡳⢮⡱⡭⣖⡹⢦⡹⣜⢣⡞⣜⡳⡜⢶⡱⢣⡽⣌⠟⡴⣛⣿⣵⢫⠞⣵⢊⡗⢮⡝⡲⢵⢫⠼⡹⡜⣾⡏⠀⢠⣴⣾⣿⠯⠟⠋⠀ ⡝⣎⢳⣣⠳⡵⢪⡕⣏⠶⣩⢿⣾⣡⢳⣙⢧⡹⢣⠞⣬⢛⡴⣍⢎⠿⣷⣯⡜⣫⢜⡣⢞⣽⣊⢧⡛⡵⡹⣼⣧⣀⣿⣿⠉⠀⠀⠀⠀⠀ ⡽⣌⠗⣮⣙⠞⡵⣚⣬⢳⡱⢺⣿⠷⣯⡜⢦⡛⣭⢛⢦⣋⢶⣭⢎⣳⣬⣙⢿⣷⣮⣵⣯⣿⣿⣶⣙⡶⣱⢣⣝⡹⣿⣿⣆⠀⠀⠀⠀⠀ ⡳⢬⣛⡴⢭⢞⣱⢣⢎⡧⣹⢹⣿⠀⠉⠛⠷⣯⣶⣍⣶⢩⢎⣻⣷⣯⠛⠙⠋⠉⠉⢀⢀⠀⠉⠙⠉⠛⢷⣿⠋⠻⣿⠻⢿⡆⠀⠀⠀⠀ ⡓⢧⠞⣜⡣⡞⣥⢋⠾⡴⢣⢻⣿⠀⠀⠀⠀⠀⠉⠉⠙⠋⠛⠋⠁⠀⠀⠀⠀⠀⠀⣤⣶⣦⠀⠀⠀⠀⠸⢿⣦⣴⣿⣿⠿⠃⠀⠀⠀⠀ ⡝⢮⡹⢖⡹⡜⢶⣩⠳⣭⢓⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢹⣿⣿⡏⠒⢈⢀⠂⡀⠹⣿⣏⠁⠀⠀⠀⠀⠀⠀ ⠺⣥⢛⣬⢳⡹⢆⢧⡛⡬⢇⣿⡇⠀⠀⠀⢰⣿⣷⡄⠀⠀⠀⢀⡴⠛⠉⠛⣻⠆⠀⠀⠉⠉⣐⡀⠂⡀⠆⠠⠐⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⣛⢴⣋⢖⣣⡝⣎⢧⣹⣼⣙⣾⡇⠀⠀⠀⡻⣿⣿⡿⠀⠀⠀⠈⠷⠶⠞⠋⠁⠀⠀⠀⠀⠀⠈⠳⣤⣄⣐⡠⢤⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⢭⠲⣭⢚⡴⡹⡜⢦⡽⣿⣯⣼⡷⠀⢁⠠⠙⢬⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢄⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⡭⢳⣌⣷⡾⡷⢽⣦⣿⠟⠈⠋⠁⡐⢀⠂⠄⡀⠌⢻⡄⠀⠀⠀⠀⠀⢀⣶⠾⣶⡇⠀⠀⠀⠀⠀⠀⠄⣠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠱⣾⡏⠀⠃⠀⠉⠁⠀⣦⠀⠡⠐⠠⢈⠐⠠⢀⣾⠃⠀⠀⠀⠀⠀⢸⣯⣴⡟⠁⠀⠀⠀⠀⢠⣤⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢃⣿⡇⠀⠁⠀⠀⠀⠀⠙⠷⣤⣈⠐⠀⣤⣵⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠓⢻⣿⣦⣅⣈⣂⣠⣶⣦⣀⡀⠉⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠛⠛⠛⠋⠙⠛⠻⠿⣿⣶⣷⢶⣶⣶⣶⣶⠶⢾⠦⠀⠀⠀⠀⠀⣿⠻⣿⣆⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡾⠛⠁⠘⢿⣆⡀⠀⠀⠀⠀⠀⣾⠇⠉⠛⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠿⣆⡠⠀⠌⠛⠿⠶⣶⢶⠾⠋⢀⢂⣾⠃⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠁⠠⠑⡈⢀⠉⠻⣦⣔⣠⣀⡄⣠⢀⡀⣢⣴⠟⠁⠠⢁⠈⢿⣝⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠌⡁⢂⠁⢂⡐⠠⠀⠉⠉⠛⠛⠛⠋⠐⡉⠀⢄⠈⡁⠂⠄⠂⠻⣟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⠀⠌⢂⠐⠠⠈⠄⠠⠁⠌⠠⢁⠂⡐⠠⢈⠐⠠⢁⠂⠌⡀⠡⢈⠐⠠⠹⣯⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀⠌⠐⡠⠈⠄⠡⠈⠄⠡⢈⠐⠠⠐⡀⠡⠀⠌⠐⡀⠌⠠⢀⠡⠀⠌⠐⡀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠁⠉⠐⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⣀⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠟⠛⠛⠛⠛⠛⠃⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢦⡘⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⡿⢿⠿⢿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⡾⠀⠀⠀⠀⣠⣶⣶⣦⠀⠀⠀⠉⠉⠀⣴⣾⣷⣄⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣠⡤⠤⠠⠀⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀⠻⣿⣿⠟⠁⠀⠀⠀⠀⠀⠻⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⠀⠀⠀⠀⢸ ⠛⠓⠐⠒⠒⣲⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⡠⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⡌ ⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠸⡄⠀⠀⠀⠀⠀⢸⠁⠀⡆⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁ ⠀⠀⠀⠀⠀⠀⠀⠓⠒⠒⠒⠛⣄⠀⠀⠀⠀⠘⣆⠀⠙⢤⣀⠀⠈⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣈⣦⣀⣀⣀⣀⣈⡶⠀⠀⠈⠑⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣍⣀⣀⣀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⢀⣠⠔⠛⠒⠒⠢⠤⠖⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠋⠉⠉⠉⠉⠉⠉⠉⠉⠒⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠁⠀⠀⣰⣦⣴⣶⣶⣶⣤⣤⠀⠀⠀⠀⠀⢀⡉⢳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⡸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⠀⠀⠠⣆⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠙⣆⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠒⣻⣿⣿⣿⡛⠛⠲⣿⣀⠴⠶⠶⣶⣤⣤⣤⣿⡆⠀⢹⡆⠀⠀ ⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣅⠀⠀⠀⣶⣿⣿⣿⣿⣿⠀⢠⣿⣧⠀⠀⣴⣿⣿⣿⡇⣿⣧⠀⠀⢿⠀⠀ ⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠦⠬⠿⠿⠿⠿⠏⠐⣛⡥⠉⠓⠾⢿⣿⣿⣿⣧⣿⡿⠀⠀⢸⡆⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣨⠷⠛⣿⠇⠀⠀⢼⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠋⠀⠀⠀⣸⡇⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣤⣄⣠⡀⣀⣠⣄⠀⠀⠀⢻⠇⠀ ⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠉⠉⢀⡴⠛⢯⣿⠛⠙⡿⠦⣭⣠⡀⠀⣼⠀⠀ ⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡞⠀⠀⣼⠁⠀⢰⣀⡄⠈⠻⣷⢼⡇⠀⠀ ⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠃⠀⢸⠇⠀⠀⣸⠏⠀⢀⣾⠁⠀⠹⡄⠀ ⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠀⠀⣿⠀⠀⣴⡏⠀⠀⣾⣿⠷⣶⠾⣧⠀ ⠀⠀⠀⠀⠈⢿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠆⠀⠟⠀⠀⠿⠓⢠⡄⣿⠙⢷⣴⣶⡿⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⠆⠀⠀⣼⡃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠘⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣷⣶⣶⣶⣶⣶⣦⣤⣼⣧⠀⠀⠀⠀⠀⠀⢀⣿⠀⣇⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠘⡄⠀⠀⠀⣀⣤⡿⠛⢧⣹⣦⣀⣴⣾⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣀⣀⣈⣉⣿⠆⠀⠀⠿⣍⣉⡩⠴⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠒⠀⠈⠉⠀⠐⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⠀⢠⣶⣤⣀⢀⠀⢀⣤⣾⡟⠦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠉⠉⠹⣿⡀⠛⠉⠙⢧⡀⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⠀⠀⠀⠐⠀⠒⣤⣀⣝⡀⣀⣠⡞⢉⣧⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠨⣦⣀⡈⣥⡺⠿⣬⣭⣾⣿⡟⡄⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⣛⢭⣿⣷⠸⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⠐⠒⠒⠒⠂⠤⢤⡒⡚⣻⣹⢿⣃⣠⠇⠀⢀⠀⠀ ⠀⠀⠀⣵⡄⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⢉⣽⠏⠀⠰⠋⠢⡀ ⠀⢠⠀⠘⡆⠀⠀⠑⠦⣄⣀⣀⣀⠀⠀⠀⣀⡠⠚⠁⠀⠀⠀⠀⡤⢼ ⠈⠻⠽⣢⠇⠀⠀⠀⠀⠀⠉⠉⠉⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠻⠇⠉ ⠀⠀⠀⠁⠀⠀⠀⠀⣤⣤⣤⣄⠀⠀⠀⠀⢰⣿⣷⣶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⠀⠀⠀⠀⡘⢻⠽⢿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠁⠫⠑⠚⠓⣤⡀⠰⣧⡈⠒⠋⠉⢹⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠩⢗⠀⠀⠒⣒⣿⠷⠀⠉⠫⠀⠨⠭⠽⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⠀⠆⠀⠀⠀⠀⠀⠀⢀⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠁⠂⢄⠀⠀⠀⠀ ⠸⠀⠀⠘⡀⠀⠀⠀⢀⠔⠁⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀ ⠀⢃⠀⠀⠡⠀⠀⠠⠁⠀⠀⠈⠙⣿⣶⣶⣦⠀⢠⣤⣤⣤⣤⣄⡀⠀⠣⠀ ⠀⠈⠆⠀⠀⠡⢀⠃⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠈⠁⣿⣿⡇⠉⠁⠀⠀⢃ ⠀⠀⠈⠄⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠸ ⠀⠀⠀⠈⢆⠀⠀⠐⡄⣀⡀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢂⠀⡠⠜⠁⣰⣤⠀⠀⠀⠛⠋⠛⠻⢷⡄⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠫⣀⣴⣾⣿⠛⠀⠈⠁⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁ ⠀⠀⠀⠀⠀⠠⣾⣿⡿⠛⠉⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀ ⠀⠀⠀⠀⠀⠀⠸⠁⢤⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⡀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⢀⡠⠃⠀⠀⠒⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠐⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⠂⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠐⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠢⠀⢀⡀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⣀⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣷⣦⡀⠈⠓⢄⠀⠈⠲⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠋⠀⣴⠟⠁⢀⣤⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠟⠋⠉⠉⠉⠉⠛⠿⣦⡀⠀⠙⢤⠀⠈⢦⠀⠀⠀⠀⠀ ⠀⠀⢀⡼⠁⢠⠾⠁⠀⠸⡿⠋⠁⠈⠙⠛⠿⠿⠶⠗⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠻⣦⠀⠀⠱⡄⠀⢳⡀⠀⠀⠀ ⠀⢀⡾⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⣴⡶⣶⡄⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢧⠀⠀⠘⠀⠀⠱⡀⠀⠀ ⠀⡜⠁⠀⠊⠀⠀⠀⠀⠀⠀⠀⢸⠋⡀⣀⣿⠀⠀⠀⠀⡿⠀⠀⠀⠀⡴⠋⠈⢳⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠘⡄⠀⢳⠀⠀ ⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣥⣾⠏⠀⠀⠀⠀⣇⠀⠀⠀⢸⡁⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⢸⣿⢻⣧⡀⠀⠀⠀⣇⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⠀⠀⠀⠘⢿⣦⡀⠀⠈⢷⣀⣰⠟⠀⠀⠀⠀⠀⠀⠀⣸⣿⠎⠙⣷⠀⠀⠀⢹⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠁⠀⠀⢹⣇⠀⠀⠈⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⡇ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠒⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢠⠁ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⣼⠀ ⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠉⠉⠉⠉⠙⠛⠛⠶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⡇⠀ ⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⡾⠀⠀ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡼⠁⠀⠀ ⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠢⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣤⠤⠴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠂⠉⠁⠒⠂⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠊⠁⠀⠐⣿⣿⡿⠿⠆⠀⠀⢠⣬⣷⣤⡄⠀⠀⠀⠀ ⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢄⠀⠀⠀ ⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⢳⡈⢆⠀⠀ ⠀⠆⠀⠀⠀⠀⠀⢠⠔⠂⢩⣿⣿⣯⠉⣿⠚⢉⣽⣶⣺⡇⠘⡆⠀ ⢠⠀⠀⠀⠀⠀⠀⠀⠉⠒⠈⠻⠿⠟⠰⠗⠑⠺⠿⢿⣿⡇⠀⣷⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠹⠃⠀⣹⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠚⠋⢉⠝⢿⠟⠺⠽⣠⠀⡆⠀ ⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡇⢠⠇⠀⡷⠀⣸⠛⢅⠀ ⠀⠀⠹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⠀⣼⠁⢰⣿⠲⣺⠀ ⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠈⢹⠄⠉⣝⠀ ⠀⠀⠀⠀⠀⠈⠛⠶⣤⣤⣀⣀⣀⣀⣀⡇⠀⠀⠀⠀⡜⡇⠀⠘⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠘⡀⠀⣠⡼⠓⣽⣤⡴⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠒⠃⠀⠈⢀⠈⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠤⠤⠤⠤⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠐⢈⡠⠄⠀⠀⠀⠀⠀⠂⠀⠀⡁⠒⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⢉⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣌⡑⠠⡈⠢⡀⠀⠀⠀ ⠀⠀⡠⠃⡴⠃⣤⠶⠶⣤⣄⣀⠀⠀⡠⠛⠉⠉⠉⠉⠓⢄⠈⠢⠈⢂⠀⠀ ⠀⡰⠀⡎⠀⠀⠁⢀⡴⠦⡀⠀⠀⡜⠀⠀⢀⣀⠀⠀⠀⠀⢳⣀⠁⡀⢣⠀ ⢠⠁⠀⠀⠀⠀⠀⠸⣔⣴⠃⠀⠀⠁⠀⢰⠁⠀⡆⠀⠀⠀⠈⡿⣄⠐⠀⡆ ⡄⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠈⢷⡄⠈⠢⠘⠀⠀⠀⠀⡼⠟⠙⣆⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢄⡀⠀⠀⢀⡠⠞⠁⠀⠀⢹⠀⢸ ⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⣸⠀⡸ ⠘⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⡟⢀⠇ ⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⡜⠀ ⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀ ⠀⠀⠀⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠊⠁⠀⠀⢹⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠒⠒⠒⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣠⠖⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠃⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠉⠉⠀⠀⠀⠀⠀⠈⠉⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢱⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀ ⠀⠈⣇⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠰⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⢇⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠈⠻⢿⣿⣶⣶⣤⣤⣤⠀⠀⠀⣀⣠⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⢳⠀⠀⠀⠀⠈⣆⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡟⠛⠛⠀⠀⠘⣿⠿⣿⣿⣿⣿⠿⣿⣿⡆⠀⠀⠀⠹⡀⠀ ⠀⠀⠀⠈⢇⠀⠀⠀⠀⠘⣆⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠈⠀⠀⠀⠀⠀⢣⠀ ⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠘⢾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⡄ ⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠳⣄⠖⢲⡀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⢀⡴⠋⠀⠀⣱⣄⡀⠀⠀⠀⠀⠈⠛⠋⠉⠛⠻⠿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡴⠚⠁⠀⢀⣴⣿⣿⣿⣿⠒⠢⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⣠⣶⣿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡋⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⢺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⣀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠒⠒⠒⠒⠂⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢳⠀⠀⣀⠤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⠒⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠐⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠤⣄⣀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⣀⡴⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⣀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠋⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠈⢦⠀⠀⠀⠀⠀ ⠀⠀⢀⡼⠁⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⢳⡀⠀⠀⠀ ⠀⢀⡞⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠱⡄⠀⠀ ⠀⡜⠁⣾⣿⣿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠲⠶⢶⣦⣄⡀⠀⠀⠀⠀⢀⣠⣤⡶⠶⠞⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣷⠀⢳⠀⠀ ⢸⠁⠘⠻⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⣇⠀ ⡏⠀⠀⠀⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⠛⠛⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⡟⠀⠀⠀⢻⠀ ⡇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠈⠀ ⡃⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⡇ ⡇⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⢠⠁ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⠭⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀ ⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣗⡒⠤⠤⢄⣀⣀⣀⣀⣠⡤⠤⠖⣺⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀ ⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⠤⠤⠤⠤⠤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀ ⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⣀⣀⡀⠀⣀⣀⣀⣠⠤⠴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⠿⠟⠛⠛⠋⠉⠉⠉⠛⠛⠻⠿⢿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣆⠀⠀⠀ ⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀ ⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀ ⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢹⣿⡆ ⢸⣿⠃⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⡈⠀⠀⣿⣧ ⣾⣿⠀⠀⠀⠀⠀⠉⠛⢻⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡟⠛⠋⠀⠀⡇⠀⠀⢸⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠇⠀⠀⠀⡸⠀⠀⠀⢸⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⢠⠃⠀⠀⠀⢸⣿ ⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⣾⡿ ⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⢰⣿⠇ ⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⢠⣿⡟⠀ ⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⢠⣾⡟⠀⠀ ⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⣠⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣷⣶⣤⣤⣄⣀⣀⣀⣀⣀⣤⣤⣴⣶⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣤⣤⣤⣄⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⠿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢡⣿⣶⣽⣧⡀⠀⠀⠀⠀⣴⡾⣿⣿⣿⣷⣦⣉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⣿⣿⣿⣿⡏⣧⠀⠀⠀⢰⡿⢰⣿⣿⣿⣿⣿⣿⣦⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢻⣿⣿⣿⡗⣿⠀⠀⠀⠸⣷⡸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢷⣌⠻⠿⣿⣷⠇⠀⠀⠀⠀⠙⢷⣿⣿⣿⣿⣿⣿⠟⠁⣠⡾⠃⠈⠑⢤⡀⠀⠀⠀⠀⢠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠙⠛⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠽⠷⠶⠟⠋⡀⢀⠀⠀⠀⠹⡄⠀⠀⢠⣿⠇⠀ ⠀⠀⠀⣠⣤⣤⣀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⢧⠱⡈⢧⠀⠀⠀⠇⠀⣠⣿⠋⠀⠀ ⠀⠀⢀⣿⠀⣼⡿⠿⠶⣦⣄⠘⢿⡶⠷⢦⣌⠛⠛⠛⠷⠶⠶⠶⠄⠀⠙⢄⠀⠀⠀⠀⠈⢧⠙⠆⠀⢀⣀⣴⡾⠟⠁⠀⠀⠀ ⢠⡞⢛⣿⣷⣿⣇⠀⠀⠀⠹⢷⣿⠁⠀⢨⡿⠛⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⢀⣀⣤⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀ ⢸⣄⣿⠋⠈⠙⠻⢦⣄⠀⠀⠀⠙⢷⣦⣟⡅⠀⠀⢹⡿⠶⠶⠶⢶⡶⠶⠶⠶⠶⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠛⢿⣧⡀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠉⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⣼⡁⠙⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣟⣻⣤⡀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⣿⠛⠒⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠳⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⣀⡴⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡾⠋⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡇⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠘⣇⠀⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⢹⡄⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣷⣦⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀ ⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠈⢷⠀⠀ ⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⠛⠋⢹⣿⣿⣿⣿⣿⡉⠛⠿⢿⠃⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⢻⡀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢳⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇ ⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠈⢷⣀⡾⠛⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣶⣶⣶⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⢀⣼⠟⠀⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠛⠛⠛⠿⠿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⢀⣠⠖⠋⠀⠀⠀⣰⣴⣿⣿⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡏⠁⠀⠀⢀⣠⣾⣿⣿⣿⣿⡿⠏⠀⠉⠉⠛⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⣾⣿⣿⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣯⡼⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢿⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣀⣀⠴⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠯⠤⠤⠤⠤⠤⠴⠒⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣤⣤⠀⠀⠀⠀⠀⢀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⣠⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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o( O˶˶O )o?!?!

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣁⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣯⢼⣿⣿⣇⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⢾⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣏⢮⡹⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⡘⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣇⡚⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢼⣿⡏⣿⣿⣿ ⠀⠀⠀⠀⠀⣽⣿⣿⣿⣗⣮⠓⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢣⣿⣿⣿ ⠀⠀⠀⠀⣀⣿⣿⣿⡯⢿⢎⠩⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⢀⣠⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣦⣤⣀⠀⠀⠀⢀⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡥⢫⣿⣿⣿ ⠀⠀⠀⢰⣿⣿⣿⣿⡭⢋⠆⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠐⢌⠣⣿⣿⣿ ⠀⠈⠁⠨⣿⣿⣿⣿⣳⠉⠆⡁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⣕⢻⡿⣿ ⠀⠀⠀⠐⣿⣿⣿⡿⢤⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⠿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠙⠿⠿⠿⢿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⣉⠆⣯⢟⡼ ⠀⠀⠀⢈⣿⣿⣿⡝⡢⠅⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡿⠸⣿⣿⣿⣿⣿⣷⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⣤⣀⢠⣶⣶⣶⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀⠤⢙⢲⡿⣾ ⠀⠀⠀⢠⣿⣿⣿⡜⡱⡈⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠋⣬⣽⡟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣴⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠏⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠀⢂⠡⠀⢈⠢⡉⢶⡹⣭ ⠀⠀⠀⢠⣿⣿⣿⣜⡱⢀⠣⡐⠀⠀⠀⠀⠄⢂⠔⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣶⣶⣶⣶⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣾⣶⣷⣾⣶⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⡀⠄⠂⠀⡀⠆⠄⡀⠐⠠⢆⡱⣍⡳⣜ ⠀⠀⠀⠠⣿⣿⣿⡞⡔⡃⠦⡑⠈⡀⠀⢈⡘⠤⡒⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢀⠐⡠⢁⠒⠀⡄⢠⠀⠌⠒⡤⢒⣭⢻⡝ ⠀⠀⠀⠀⣿⣿⣿⣿⢡⢃⢂⠁⢂⠀⠄⢂⡘⠦⣉⠆⠀⠀⠀⠀⠀⠀⠀⠌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⢀⠢⣁⠐⠤⢂⠱⡌⢦⠈⢆⠱⣈⠇⣎⠗⣞ ⠀⠀⠀⠀⣿⣿⣿⣯⡓⡌⢂⠌⡀⠂⠄⠢⡜⠰⠡⠎⠀⠄⡀⠂⠌⡐⢠⠀⠂⠍⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⠀⠀⠀⡀⠄⠠⠐⡠⢃⠦⡉⢆⢡⠢⢙⠢⢍⠢⠱⢌⠞⡼⣹⣦ ⠀⠀⠀⠀⣿⣿⣿⣿⡜⣌⢣⠚⣄⠃⠌⠰⢌⢳⡉⢆⠁⢢⠐⡡⠂⠌⠠⢡⠙⣆⠢⣜⡥⣈⠉⠙⠙⠋⠛⠛⠟⠻⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠋⠛⠙⠋⠋⠛⠙⠋⠙⢋⠋⠍⠀⠀⢀⠐⡠⢁⠠⢀⠱⣌⠱⣉⠒⡱⢈⠆⠳⢌⠳⡌⢣⡙⠬⢎⣵⣯⢹ ⠀⠀⠀⠀⣿⣿⣿⣿⡞⡤⢣⡙⠴⣈⢂⠱⣎⠦⡙⠤⡘⡀⢎⠰⣡⠊⡔⢂⠱⢈⠒⠍⡛⢤⠃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢂⠁⢆⡍⢲⠡⢆⡂⠖⡌⠱⣀⠣⢀⠣⠌⡱⣌⠓⣌⠡⡜⡱⢎⡾⣽⢣ ⠀⠀⠀⠀⠘⣿⣿⣿⡕⢮⡱⢌⠳⡀⢎⠰⣃⢮⡑⢣⢒⡱⢊⠵⣡⠚⡴⢁⠒⡈⠔⡈⢐⠠⠁⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢿⠿⡒⡄⢢⠐⠠⢁⢆⡩⢒⡌⢣⡙⠦⡙⢌⠰⣑⢢⡙⢆⡱⢌⡱⢌⠣⣐⠣⢜⡡⣟⣾⣿⣿ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⡝⢮⠱⡁⢎⠰⣉⠶⣉⠖⣈⠖⣩⠎⡵⣉⠖⡡⢊⠰⠉⡔⡁⢊⠁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⢠⣠⣔⣶⣶⣶⣶⣶⣶⣶⣶⣿⣶⣶⣾⣿⣷⣷⣶⣶⣶⣶⣶⣶⣶⣶⣴⣤⣤⣤⣤⣤⣀⡀⢀⠀⢂⠱⡈⠄⠂⡔⡌⢦⡑⢣⠜⡡⢎⡱⡐⣈⠖⡡⢆⡉⢆⡱⢊⡴⣉⠦⣁⠞⣨⠱⣫⣿⣿⣿ ⠀⠀⠀⠀⠀⣹⣿⣿⣿⣏⢿⡧⢣⡑⢌⠲⣍⢲⡑⠎⣄⠫⡔⡩⢔⠠⢩⠐⡡⢊⠔⡠⢈⠔⠨⠐⠀⠀⠀⡀⢤⣰⣦⣷⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣧⣄⣂⠐⡈⠐⡰⢈⡀⠌⡀⢎⡱⢊⠴⡓⡌⢎⡱⢎⡔⠢⡜⡡⢞⠧⢊⠔⡸⢄⡳⡵⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣟⣾⣯⡕⡌⢢⣙⣮⢣⠜⡡⢂⠳⢬⡑⢎⠰⢁⢢⡑⠌⠢⠁⢃⡌⣀⢢⡜⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣶⣶⡥⣀⢡⡈⢄⠡⢂⠱⣉⠖⡱⢈⠅⠊⠴⣈⠳⡌⢵⠪⡜⡡⠎⡔⢫⣷⣷⣿⣿⣿ ⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⡞⡌⣅⠚⣜⢣⢎⠱⣈⠓⠦⠑⡈⠰⢡⠲⣍⢦⣡⣼⣳⣾⣿⣿⣿⣿⣿⡿⠿⠟⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣦⣦⣤⠑⡌⢎⠱⢈⠬⠑⠂⠄⠱⡘⣌⢣⣌⠱⢣⠜⣣⢾⣿⣿⡟⠁ ⠀⠀⠀⠀⠀⠈⡉⢹⣿⣿⣿⣿⣿⠀⣈⠁⡌⢣⡈⠀⡈⢹⡀⢃⠘⡀⢃⣿⣼⣿⣿⣿⣿⣿⣿⠛⠙⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣧⣼⡀⡄⠈⠀⢁⠈⢀⠁⠈⡄⢣⡈⢃⠃⡜⢡⣿⣿⣿⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣏⡳⣌⢳⡜⣣⠍⢆⠱⢃⠜⡠⣑⣼⣿⣿⣿⣿⣿⣿⣟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣾⣱⠂⠄⠂⠄⢂⠡⡘⢢⡉⢎⠼⣱⢻⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⡝⡞⣯⣿⣥⢋⠆⡱⠈⡄⢣⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣄⣤⣠⣤⣤⣤⣤⣤⣄⣤⣠⣄⣤⣠⣄⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣯⠄⡈⢐⡀⠂⢅⠣⡜⡬⣖⣧⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣝⢾⣿⣿⣎⠰⢡⡓⡌⢢⢘⠻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣾⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠡⠐⠠⢌⠱⣌⠶⣙⢶⣻⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣾⣿⣿⣧⣋⠶⡹⢐⠂⣌⠳⢈⠂⠜⢫⠐⠻⢿⣿⠣⠌⢻⣿⣿⣿⣿⡿⠟⠟⠻⠻⠻⠿⣿⣿⣿⡿⠿⠻⠟⠻⠟⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⠃⢌⡐⢈⠶⣽⣿⣼⣾⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣎⠳⣅⢣⠘⡠⢋⠄⠂⠌⠂⠄⠁⢊⠥⠃⠌⣲⣿⣿⣿⡯⠑⡈⠐⠠⠃⡑⢎⣿⣿⣿⠍⢂⠡⠌⡐⠠⢀⠀⠁⢂⠉⡙⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⠦⡙⣤⡘⣤⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣯⣿⣾⣆⠣⡐⢩⡘⡰⠈⡔⠈⠀⠌⢊⠐⣢⣿⣿⣿⣿⡒⠠⠀⡉⠄⠠⠐⣌⢿⣿⣟⠂⠄⣀⠂⠌⠠⠁⢈⠐⠠⠐⠠⢀⠂⡘⠌⠻⢿⣿⣿⣿⣿⣿⣿⣞⡷⣽⣶⣻⢶⣯⢶⡿⣽⢯⣟⢷⣛⡾⢯⣿⣿⣿⣿⣿⣿⣿⣿⡿⡓⣈⠰⣙⡦⣽⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣧⡙⠦⠱⣁⠣⢠⠑⡌⡐⢠⢊⣷⣿⡿⢏⠣⡑⠠⢁⠐⢈⠠⠁⢌⠊⡝⠌⠂⠌⡀⠐⡀⠂⡐⠠⠀⠄⡀⠐⠠⠀⠀⠈⡁⠊⠜⡹⢻⣿⣿⣿⣿⣿⣿⣾⣻⣟⡾⣯⣿⣟⣿⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠡⡑⠤⣋⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣾⣿⣿⡷⣉⠖⣡⠂⢆⢡⠚⡴⢁⠆⢣⠎⠱⠐⣈⠐⠤⢁⠂⠌⠠⢀⠡⢊⠐⠄⢊⠐⠀⠄⠁⡀⢂⠌⠡⠉⠀⠀⢈⠁⠀⠀⢀⠐⣀⠂⠀⢃⠚⠿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡛⠦⠱⡌⢆⢥⢳⣾⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣯⣷⣌⢞⣤⣙⢦⣢⣥⣼⣌⣮⠐⡈⠤⠁⡄⠊⡔⢁⠊⢄⠁⢂⠐⠠⢈⠂⠄⠂⠈⢀⠀⠀⠀⠈⠀⠀⡀⠀⠀⠊⠀⠀⠀⠈⠄⠠⠐⠀⡈⠄⠩⡙⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⡔⡉⢆⢣⣽⣾⣮⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣢⣑⠠⡁⠐⡈⠰⢈⠐⠠⢈⠐⠠⠈⡀⠌⢀⠀⠠⠈⠀⡀⠀⠀⠀⠁⠀⠀⠌⠠⠁⠀⠂⠄⠀⠂⠀⠄⠡⢀⠃⢂⠆⡍⣛⠻⢟⠿⡻⢟⠿⣻⠛⣏⠒⡌⢢⢑⢢⡙⣌⢾⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⠏⠙⠻⠿⢿⣿⣿⣿⣿⣿⣷⣤⢡⢀⠃⠄⢊⠐⡀⠂⢀⠁⠠⠐⢀⠈⠄⠠⠁⠀⠄⠁⡀⠂⠀⠐⠈⢀⠐⠈⢀⠀⠂⢁⠊⠜⡀⠂⠌⡐⢂⠰⢀⠡⢈⠢⡕⢪⠔⡁⠎⡄⢣⠜⣢⢍⡶⣽⣾⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠛⢻⣿⣿⣿⣷⣮⣒⡈⠄⢂⠐⡈⠄⡐⠠⠈⠄⢂⠈⡐⢈⠐⡈⡔⣀⠄⡁⢀⠂⠄⠂⠌⡀⠐⢈⠀⠈⢆⠱⡈⠐⣀⠂⠔⡠⠊⢄⠓⡬⢓⠮⣑⠎⣔⢣⣚⣵⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠿⣿⣿⣿⣧⣎⠰⡈⠔⡰⢀⠡⠈⠔⢢⠐⠀⠀⠀⠱⢻⣿⣾⣴⣦⠌⡐⠈⠄⠠⢁⠂⠌⡐⡈⡐⠤⠡⢠⠘⠤⡑⢌⢢⡑⢬⣣⢧⣝⣮⣼⣳⣿⣿⣿⣿⣿⣿⣿⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣤⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣷⣜⠢⡑⡌⢢⠑⣈⢆⣃⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣮⣑⣢⣉⢆⡱⢠⠑⢢⡑⢢⡉⢦⡑⢎⠦⡙⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣿⣿⣧⡕⣎⠱⣊⢶⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠘⠻⠿⣿⣿⣿⣿⣿⣿⣶⣧⣮⢱⣌⠧⣜⢢⡙⣬⠚⣵⣳⣾⣷⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠹⣿⣿⣿⡏⠀⠀⠀⣻⣿⣿⠇⠀⠀⢠⣾⣿⣿⡿⠀⠀⠀⠀⣤⣀⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⡿⠁⠀⢀⢶⣿⣿⠏⠀⠀⢠⣼⣿⣿⡟⠁⠀⣠⣾⣷⣲⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⡇⠀⠠⣘⣿⣿⠏⠀⠀⢠⣾⣿⣿⡿⠋⢠⣴⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⣿⡇⠀⠰⣼⣿⡏⠀⠀⣠⣿⣿⣿⡿⢃⡱⣼⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⣿⣿⣿⣿⡇⢠⣼⣿⡟⠁⠀⣰⣿⣿⣿⠛⠀⢦⣽⣿⣿⣧⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⣠⣿⣿⣿⣿⣇⣻⣿⠟⠄⠀⢸⣿⣿⣿⠟⠀⣌⣿⣿⣿⣽⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠆⡄⠀⠀⠀⠀⠀ ⠛⣿⣿⣿⣿⣷⣿⣿⠂⠀⣰⣿⣿⣿⠇⠀⢐⣾⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢃⠀⠀⠀⠀⠀⠀ ⠀⠙⠻⣿⣿⣿⡟⠁⠀⢀⣾⣿⠿⠁⠀⢠⣼⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⣿⣿⣿⣷⣴⣶⣿⣿⣿⠤⣤⣶⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

🤔(·•᷄‎ࡇ•᷅ )( ╹ -╹)?

︎✞︎༒︎︎☠♱ �𝖌𝖌𝖎𝖓�︎♡ .︎ఌ��♡��kcid ru ♥ i

⣿⣿⣿⣿⣿⠟⠋⠉⣩⣽⣟⣻⣙⠛⡛⠛⠛⣛⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠃⠀⢔⣿⠟⠛⠉⠁⠱⡆⠀⠀⠠⡔⠒⠒⢤⠀⠉⢿⣿⣿ ⣿⣿⣿⡅⠀⠀⢡⢡⣶⣿⣿⠛⣶⣤⠀⠀⠀⣤⣤⣦⣤⠁⠀⠘⣿⣿ ⣿⡿⢩⡵⢶⡾⣵⣉⣉⡽⠋⠙⠻⠋⠀⠀⢻⡟⠋⢉⣉⣉⣭⣻⡿⣿ ⣇⡇⣿⠤⣾⠳⢦⣄⣀⠀⠤⠴⡶⢆⣀⠀⠈⢳⣦⣈⠉⢩⣇⢀⣿⣿ ⣿⣿⡺⠀⠘⢷⣦⣽⣍⠙⠓⣶⢯⣭⣄⣀⣶⣋⣁⣠⡵⣾⣿⠈⣽⣿ ⣿⣿⣿⡄⠀⠈⠳⣼⠉⠛⢿⣿⣦⣤⣼⣧⣬⣯⣤⣼⣷⣿⣿⠀⢾⣿ ⣿⣿⣿⣿⣦⣀⡀⢈⠛⢦⣼⡁⠀⠈⡏⠉⢻⡟⢻⠟⣿⣿⡟⠀⣻⣿ ⣿⣿⣿⣿⣿⣿⣿⣛⠿⣧⢄⣛⠛⠻⠿⠧⠿⠿⠿⠟⠛⣃⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣙⠛⠓⠲⠶⠴⠐⠢⢒⡈⠡⠐⠀⣸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣀⣀⣀⣀⣤⣶⣿⣿

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⢋⠘⠈⠃⠈⠣⠁⡅⠈⠌⠈⠈⠁⠁⠀⠈⠌⡈⠈⠈⠅⠀⠀⠀⠀⠈⠈⠈⢀⠁⡀⠀⠀⠈⠀⠀⡉⢀⠡⠁⢈⠀⠈⠀⠀⠀⠡⢀⠁⠌⠀⠀⠀⠀⠀⠀⠐⢀⠈⠄⠠⠄⠀⠀⠀⠀ ⠆⠀⠀⡀⠀⢣⠐⠄⡑⡈⠄⠀⠀⠀⡀⢐⠀⣀⢂⣡⣤⣶⣼⣶⣷⣬⣅⠢⡄⠐⡀⠀⠀⠀⠀⠀⡐⢂⢂⠡⠐⠀⠀⠀⠀⠀⡁⢂⢈⠐⢁⠂⠀⠀⠀⠀⢈⠄⡈⢂⠁⠂⠀⠀⠐⠀ ⠦⡄⠤⡀⠤⠄⠂⠀⠁⠐⠀⢀⠀⠄⠀⠀⣠⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠒⠀⠤⠀⠄⢀⠀⠁⠂⠈⠀⠉⠀⠠⠀⠠⢀⠐⠀⠂⠈⠐⠀⠤⠀⠄⣀⠐⠀⠐⠠⠀⠡⠀⠤⠤⠄ ⢃⠐⡀⠁⠒⠀⠀⠀⠀⠁⠌⠤⣄⣸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡂⠁⠊⠀⠁⠀⠀⠠⠀⠀⠡⠡⡈⠁⠢⠀⠀⠀⠀⠀⡈⠠⢁⠂⠤⠀⠀⠀⠀⠀⠀⡁⠂⢡⠂ ⠃⠔⢠⠉⡔⠀⠀⠀⠠⡄⣾⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢟⠿⡻⢖⡶⢦⣤⣄⣀⠁⠄⡁⠒⠀⠀⠀⠀⠀⠠⠁⡌⢐⠠⠁⠀⠀⠀⠀⠐⡀⢉⠀⠄ ⠀⠈⠀⠀⠀⡐⠀⢂⢰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡖⡱⣎⠼⣥⢚⢬⢋⠟⡷⢦⣄⡐⠢⠀⠆⠐⠁⠀⠀⠀⣀⡀⢦⠐⡀⠔⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣼⢾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢋⠦⣙⠤⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⡌⡳⢆⡭⢂⢏⡚⣌⠳⣘⠻⢷⣦⣐⣤⣤⣶⣾⣿⣿⣿⣿⣦⡇⠠⠄⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⢻⣉⠶⣩⠛⡽⢿⣿⣿⣿⡿⢟⡭⣶⣿⣿⣷⣷⣮⣑⠣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⠵⣋⣜⣩⣦⣝⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⠀⠀⡀⠀ ⠀⡡⢀⣿⢇⢣⠎⣇⢣⢏⡴⣋⠬⣑⠎⡴⣩⣾⣿⣿⣿⣿⣿⣿⣿⡱⢌⠽⣻⣿⣿⣿⣿⣿⣿⣿⣬⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠇⢀⠈⡐⠀⡀ ⠀⠂⢨⣿⡘⢦⡛⢤⣋⠶⣘⠜⡺⡜⣜⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣊⠶⣡⢎⡛⠿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⢂⠄⢁⠀ ⠀⠁⠀⣿⡘⢦⣙⠲⣌⢳⣉⠮⣱⡙⡆⣏⠲⡹⣿⣿⣿⣿⣿⣿⠟⣢⡙⢎⡕⠮⡜⣡⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⡛⢯⡓⡬⢻⣶⡀⠀⢠⠈⠀⠈⠀⠀ ⠀⠀⠠⣟⡜⡱⢎⠳⣌⠳⡜⠲⢥⢣⡓⢬⢣⡕⣪⠙⡝⢻⢍⠣⡞⡥⣚⠥⣚⠵⣹⠰⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⡘⣦⢳⡙⢦⡹⣔⠣⠞⣷⡄⠂⠄⠀⠀⠀⠀ ⠀⡀⢘⡧⣚⠵⣋⠳⣌⡳⢭⠹⡌⢧⢜⠣⠞⡬⣡⣋⡜⢥⢪⠱⣡⢃⡇⡎⢥⢛⠤⡛⣜⢢⡙⣛⠻⣛⠻⣩⢿⣿⣿⣿⣿⣿⣿⣿⡿⡑⢮⢥⡙⣆⠳⣌⢧⡙⠴⣻⡄⠂⠀⠀⠀⠀ ⠀⡂⢨⡗⣥⢛⡬⢳⣌⠳⣌⣷⣼⣦⣉⠯⣱⢣⣃⠦⣙⢆⡣⡹⣐⠫⡜⡩⢎⡝⢲⡱⣌⢳⡜⢆⠳⣡⢳⡐⢏⣿⣿⣿⣿⣿⣿⣿⡙⢧⣋⢦⡙⢆⡛⣔⢪⡱⢣⡙⣷⡀⠒⡈⠄⠂ ⠀⠡⢈⣿⢤⢋⡖⢣⣼⡿⣿⣛⡾⡽⣷⣞⠴⣓⣾⣿⣿⣿⣿⣷⣷⣷⣾⣵⣮⣼⣥⣲⣌⡣⢜⡩⢃⣇⠣⡝⢢⢎⡹⢻⠿⣛⠍⡦⣙⠦⡍⢦⡙⡬⡓⣌⠧⣜⢣⡱⢩⣷⠀⠐⡀⠁ ⠀⠁⠀⣿⡎⡸⡎⣁⣿⣹⢾⡹⡿⣷⣹⣾⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣸⣇⡎⣰⠇⡾⡈⡎⢱⡈⡶⢹⡆⢷⡸⢱⡈⡾⡈⣇⠇⣇⣿⡆⠀⠁⠀ ⠀⠀⠀⢸⣯⡵⡹⣄⢻⣯⣷⣛⡷⣯⢷⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣼⣵⣼⣒⣥⢊⠧⣉⠷⣩⠲⠭⣌⠳⡔⣺⡇⠀⠀⠀ ⠀⠀⠀⠀⢿⣖⣹⠜⡢⢝⣷⣯⡽⣞⡷⣻⣖⣻⢿⣿⡿⣿⢿⣻⡟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⢿⣻⢯⣻⡽⣏⡿⣽⠾⣵⣫⣏⠿⣿⣿⣿⣾⣶⣥⣯⣲⣡⢛⣬⢹⡇⠀⠀⠀ ⠀⠠⢀⠀⠘⢿⡧⡺⡝⡦⢜⣻⣷⢫⣟⣧⣟⣳⢯⡾⣵⡻⣞⣧⣟⣳⢯⣞⣯⢷⣫⢷⣛⣮⣽⣛⣾⣫⣽⣳⢯⡷⢯⣟⡾⣽⣳⢯⣞⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⢿⡇⠀⠠⠀ ⠀⡡⠂⠈⠄⠈⢿⣧⡑⣏⠖⣽⣯⣟⣾⢳⡾⣝⡾⣽⡞⣷⣻⢮⡽⣯⣟⣾⣹⢾⣝⣯⣟⣮⣗⡿⣼⣳⡽⣭⢷⣻⡟⣮⢿⣱⢯⣻⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣷⠀⠁⠄ ⠀⠔⠠⠁⠂⠀⠀⢹⣶⡉⢞⣿⣳⣞⣳⢯⡷⣯⣟⡾⣽⣳⢯⣟⣵⣻⣞⣾⣹⡟⣾⣳⣞⡷⣾⣽⣳⢯⡽⣏⣟⣳⣻⣝⡾⡭⢟⡻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣃⣿⡇⠈⠀ ⠀⠀⠀⠀⠀⠈⠄⡀⠙⢿⣾⡿⣵⢯⣛⡷⢯⡷⢾⡽⣞⣵⣻⢞⣧⣟⡾⢾⣵⣻⣳⡽⢾⣵⣳⢧⡿⠾⠽⢞⣋⢳⢩⡜⡴⡱⢣⠞⡥⢫⡔⢮⡜⡹⢛⠻⠿⡿⢟⢫⡑⢧⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⠂⠄⣼⣿⣻⡼⢯⣻⣭⣟⣯⢟⣯⢷⣻⢞⣭⣟⣾⣺⣽⢻⣼⣳⠿⣼⣻⠌⡕⢮⡔⡫⢞⡼⢌⠧⡓⢬⡱⢍⠧⣫⠜⣣⠞⡱⡜⡱⣍⠳⣅⢣⠍⡦⣩⣿⠁⠀⠀⠀ ⠀⠠⢀⠀⡐⠈⢠⣾⣿⢳⡷⣻⣏⡷⣞⣾⢺⡽⣞⣯⢷⣻⠾⣽⢶⣳⢯⣟⡾⣭⣟⢧⡿⢌⡹⢲⡜⡱⢎⡴⡩⢞⡙⢦⡙⣎⠳⣅⠻⢤⢫⡱⡸⢱⣌⠳⣌⡚⢬⣱⡿⠁⠠⠀⠄⠂ ⠀⣁⠂⠐⠰⠀⣿⣟⡾⣏⣷⣻⣼⢻⣞⣞⢯⣷⡻⣼⣛⣾⣻⡽⣳⢯⣟⡾⣽⣞⢾⣫⡟⣌⣓⢣⣚⡱⢫⡔⣱⢫⡜⣣⢚⡔⣫⠔⣋⢦⣓⢲⣑⠣⣎⠳⢬⠱⣦⡟⠁⠈⠠⠁⠌⠀ ⠀⠄⠂⠁⠌⠀⣿⣿⣳⡟⣶⣳⡞⣯⣞⢾⣏⡶⣟⠷⣽⢞⣵⡻⡽⣧⡟⣾⢳⣞⣿⠏⡜⢦⢪⠕⣦⡙⢧⡜⢢⢳⣘⠱⢎⡲⢥⢛⡜⢆⢎⠖⣌⠳⣌⠛⣤⡿⠋⠀⠀⠈⠄⠡⠈⠄ ⠀⠀⠀⠀⠀⢁⠀⠛⠷⣿⣵⢯⣽⢳⣏⣿⣼⣷⣛⢛⡛⢞⣓⡛⢳⡓⢟⡛⢯⡙⢦⢛⡬⢣⡍⡞⢤⡙⢦⡜⢣⠳⣌⠻⢬⠱⣎⡱⢌⡫⢎⡝⡰⣍⣶⠟⠋⡀⢂⠡⠈⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⠐⢈⢀⠀⠉⠛⠾⠷⠟⠋⠁⠈⠙⠷⣾⣢⡥⣙⢣⠞⣦⡙⢦⡹⣌⢣⡜⣡⢎⡙⢦⡙⢦⣉⢇⡳⢬⡙⡬⢳⠬⣑⢫⣜⣶⡼⠛⠉⢀⠀⠈⡐⢀⠂⢁⠂⠀⠀⠀⠀ ⡂⠄⡀⠠⢀⠈⠀⠂⠀⠘⠀⠠⠀⠀⢀⡀⠈⠈⠀⠀⢀⠉⠙⠳⠾⣼⣤⣙⡦⡑⢎⡱⢜⡱⢊⡵⢊⡝⣢⠙⢦⡙⢦⣱⣡⣷⡾⠟⠛⠉⠁⠀⠄⠠⠀⠠⠐⠀⠂⠁⠂⠠⢀⠀⡀⠀ ⡇⢂⠠⢀⠃⠀⠀⠀⠀⠂⠁⠤⢁⠃⡈⡇⠀⠀⠀⠀⢈⠀⠰⠄⠠⠄⠈⠉⠉⠛⠛⠻⠶⠷⠿⠶⠷⠾⠶⠟⠛⠛⠋⠉⠉⠠⠀⠀⠀⠀⠁⠈⠤⠑⡈⠄⡃⠀⠀⠀⠀⠠⢀⠂⠔⠀ ⠝⠦⠰⠦⡘⠀⠀⠀⠀⠀⠁⠀⠤⠁⠀⠃⠀⠀⠀⠀⠀⠐⠀⠂⠄⡂⠀⠀⠀⠀⢀⢀⣀⣄⣠⣤⣀⣀⣀⣀⠀⣀⠂⡁⡐⢀⠀⠀⠀⠀⠀⠀⠄⠁⠂⡐⠀⠀⠀⠀⠀⠐⠀⠌⠒⠀

⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⣲⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢠⣶⣀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢻⣿⡥⣼⣿⣿⠀ ⢸⣿⣿⣿⣿⡿⠿⠿⠻⠿⠻⠿⣿⣿⣿⣿⣿⣟⣥⣶⣾⣶⣬⠻⣿⣧⠀⠀⠀⠙⣯⣿⠿⠃⠀ ⣾⣿⣿⣿⠏⢡⢔⣮⣽⡿⠿⡶⣄⠙⣿⣿⡏⣼⣿⠟⠁⠉⠙⠳⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⢐⣵⠋⠁⠀⠀⠀⠀⠀⠑⡀⣿⡿⢾⠋⣥⣠⡄⠀⠀⠀⣼⣿⠀⠀⢰⣦⣄⣠⠆⡄ ⢹⣿⣿⠀⢿⠀⠻⣿⠟⣀⡀⠀⠀⠀⠀⣿⣿⠀⠀⠈⠛⡥⠀⠀⠀⢰⣿⠀⠀⠀⠙⣿⣿⠟⠀ ⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣸⣿⣧⠀⠀⠀⠀⠀⣤⠄⣰⠏⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⡶⢀⣾⣿⣻⣿⣦⣀⣀⣀⣴⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠳⣯⣵⢦⡤⢤⡤⣶⣻⡿⣿⣿⣿⣭⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⣀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⢰⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⣹⣿⣿⣧⣠⣤⣤⣴⣶⣖⣶⣤⣀⣰⣶⣶⣷⣿⣿⣿⣿⢿⣯⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⡿⣿⣿⣿⡷⣿⣿⡿⠹⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⡿⣿⣿⣿⣷⣯⣔⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣿⣿⣿⣯⣿⣿⡇⠆⠀⠀⠀⠀⠀ ⠀⠀⠻⢿⡿⣿⣽⣿⣿⡟⡛⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⢿⣿⢿⣿⡯⠏⠅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⠿⠏⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⡶⠿⠟⠛⠒⠒⠒⠛⠫⠽⠶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡟⢋⣩⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣉⣛⢿⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣶⡟⠉⣼⢿⡿⣿⡶⣝⣷⡀⠀⠀⠀⠀⣴⢿⣿⣷⣶⡝⢷⡍⠻⡷⣄⠀⠀⠀⠀ ⠀⠀⠀⡰⠋⡞⠀⢸⣇⣾⣄⣼⣿⣿⠈⡇⠀⠀⠀⢸⡇⣿⣀⣽⣿⣿⣈⡇⠀⠹⡈⢧⡀⠀⠀ ⠀⠀⡼⠁⠀⠠⠚⠉⠁⠀⠠⠀⠀⠉⠙⠃⠀⠀⠀⠐⠋⠉⠀⠀⠀⠀⠨⠭⠓⠆⠀⠀⢳⡀⠀ ⠀⣸⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀ ⢀⡇⢠⠋⠀⢠⠆⢀⣠⣤⣴⣶⡖⠋⠉⠉⠉⢹⠉⠉⠉⠉⠳⣶⣦⣤⣄⡀⠀⡆⠈⠑⣄⠘⡆ ⢸⠀⠇⢀⣠⣾⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣄⡀⢸⠀⡇ ⢸⠀⡄⠈⠀⢹⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠀⠉⢠⠀⡇ ⠸⣄⢸⠀⠀⠀⢿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢸⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⠃⠀⠀⡼⢀⡇ ⠀⣿⡌⣇⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣼⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⢠⠃⣾⠁ ⠀⠘⣷⡘⣆⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣷⣊⣉⣉⣼⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢠⠏⢬⠏⠀ ⠀⠀⠘⣇⡈⢦⠀⠀⠀⠻⢿⣿⣿⣿⡟⠛⠛⢻⠛⠛⠻⣿⣿⣿⣿⠟⠁⠀⠀⢠⢋⣾⠏⠀⠀ ⠀⠀⠀⠈⠣⡈⠃⠀⠀⠀⠀⠙⠻⢿⣁⠀⠀⢸⠀⠀⣀⣿⠿⠛⠁⠀⠀⠀⠀⢀⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⢀⡀⠀⠉⠉⠉⠉⠉⠁⢀⡀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣄⡀⠀⠈⠁⠒⠒⠒⠒⠒⠊⠉⢀⣠⣤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢛⠛⠤⠤⠤⠤⠤⠞⠓⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠑⠇⡼⠀⢻⡿⢤⠀⠦⠷⠿⠿⠸⠀⠀⠟⠿⠿⠻⠛⠛⠯⠻⠈ ⡄⣷⢻⠀⣧⣸⠀⠀⠀⡇⣿⣿⠀⠀⠀⣿⣿⣸⣤⣶⣶⣿⣿⢸ ⠀⠀⣧⢻⡏⣿⠀⠀⠀⡇⣿⢼⠀⠀⠉⣿⣿⣿⠀⠀⠀⠀⡀⢀ ⠀⠀⡀⣦⣿⣿⠈⠀⠀⡿⣿⢻⠟⡿⣿⣿⣿⣿⣿⠠⠀⠀⠀⠀ ⠀⠀⠀⠉⣏⣿⢻⠈⠀⣄⣦⣶⣶⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⢸⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⢸⠀⠀⠉⠟⣾⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⢻⠛⠾⣤⣀⠀⡀⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡁⣿⣿⣿⣿⢀⠀⠀⠀⠀⠃⡟⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠆⡿⣿⣿⣿⣨⠀⠀⠀⠀⠀⡀⣷⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣦⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⣶⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⢶⢶⣶⣶⡶⢶⡶⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⠿⠛⣛⡉⠉⠁⠀⠀⠀⠀⠈⠉⠙⠺⠿⣳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⢞⡽⠶⠛⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⡉⠚⢽⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⢯⡷⠋⠀⠀⢀⠀⠀⠉⢲⣄⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠉⠳⢦⡉⠺⡷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⠗⣿⠀⠀⣾⣿⣿⣏⣥⠀⠀⢸⣇⠀⠀⠀⢀⣾⠁⠀⢠⣾⣿⣿⢳⡄⠈⢳⡀⠈⢯⡳⣄⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⠋⢸⡇⠀⠈⢿⣿⣿⣿⡟⠀⠀⠀⣿⠀⠀⠀⢸⣯⠀⠀⠹⣿⣿⣿⣿⠇⠀⢨⡇⠀⠀⠹⣜⣆⠀⠀⠀ ⠀⢀⣼⣳⠃⠀⠀⢿⣀⠀⠀⠉⠋⠉⠀⠀⢀⣼⡏⠀⠀⠀⠈⢿⡀⠀⠀⠈⠙⠋⠁⠀⠀⣼⠃⠀⠀⠀⠘⣞⣧⠀⠀ ⠀⣼⢳⠃⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⣀⣤⣫⡞⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⣀⣠⠾⠃⠀⠀⠀⠀⠀⠸⡞⣇⠀ ⢸⡏⡏⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⣚⣿⠟⠉⠀⠀⠀⠀⠀⠂⠀⠀⠙⠷⣶⡒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⢿⡄ ⣼⢣⠃⠀⠀⠀⠀⠀⠀⠀⠐⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⢸⡧⡇ ⣿⣩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⡇ ⢻⠖⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⢸⣯⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣿⠃ ⠀⢻⡾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣳⠏⠀ ⠀⠀⠹⣞⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⠋⠀⠀ ⠀⠀⠀⠘⢯⡳⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣫⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠲⣝⡶⣄⡀⠀⠀⠀⠀⠀⣿⠛⠉⠉⠉⢹⣿⠏⠉⢻⡆⠀⠀⠀⠀⠀⣀⣤⢞⣯⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠺⢭⣛⠶⣤⣀⡀⣿⠦⠤⠤⠤⠼⠿⠦⢤⡿⢠⢀⣠⡤⢶⣫⡯⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠶⠭⡿⣿⣛⣛⣛⣛⣻⣿⡥⠿⠾⠓⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣄⣄⣀⣀⣠⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣴⣤⣶⠶⣞⠻⡛⣍⠫⡙⣌⠲⡐⡌⠦⣉⠖⡡⠎⠴⡉⢏⡹⢹⢛⡓⠶⢦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⢞⠻⡛⠥⣃⠦⡑⢢⠱⢡⠆⣣⠱⣌⠓⡜⣨⠑⡆⢎⡱⣉⠖⣉⠖⡰⢣⠌⡜⣑⢊⠴⢨⢍⡛⢲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⡜⢫⡑⢢⢊⡕⠬⣑⠢⢒⡉⢦⠙⣢⠑⠦⠱⡌⡓⢜⡠⢋⠜⣢⠱⢌⠚⡤⢙⡰⢃⡚⠔⣌⢊⢆⠣⡒⢬⢡⠒⡌⣍⠣⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠛⣍⢢⢑⠣⠜⡡⢎⡐⣃⠦⡙⢢⢉⠦⢩⢄⢋⡜⢡⢒⡉⢦⢘⡡⠚⢤⡉⠎⡜⣐⠣⠔⢣⠌⣃⠲⢌⢢⠃⡕⡊⠴⣉⠲⢄⠫⢜⠡⢛⡳⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣋⠳⢄⢫⡐⢎⠬⣡⢋⠴⢢⡑⢆⠲⣉⢆⠣⢎⠥⣊⠖⣌⠣⢆⡹⡐⢎⠴⣉⠖⣌⠳⡘⡤⢋⡜⣡⠚⡤⢓⡌⢦⡙⠴⣉⠖⣡⠚⡬⡑⢎⡱⠣⢌⠭⣙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢏⡍⢆⢢⢃⠎⡢⢍⢊⠖⡡⠎⡜⣡⠚⣌⠱⢂⠎⡱⢊⠵⣈⠞⣠⢋⡜⠴⣉⠎⡒⠥⡚⢤⢣⠱⢌⠣⡜⢢⡙⡔⢣⡘⠤⡙⢢⡑⢪⠔⣉⠖⡩⢆⡱⢃⠎⡒⣌⠱⢌⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠯⣑⠪⡔⠪⢔⢊⡒⠱⡌⣊⠒⡥⢚⢰⣁⣣⣬⣱⣭⣬⡑⢎⡒⢔⡊⡔⢢⠜⣡⠒⢬⢡⢃⠍⡆⣃⠎⢬⡑⣌⠣⢔⡘⢦⣬⣵⣍⣢⣍⡲⡘⡔⣊⠱⡌⠴⣉⠲⢡⠆⡙⢆⡓⡰⡙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠯⣉⠖⣡⠓⣌⠳⣈⠦⡉⠵⣐⣥⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⣉⠖⡌⢲⢡⠚⡤⣉⠖⡢⢍⠲⡘⢤⠚⡔⢢⠜⣢⠣⢼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣵⣬⡑⢢⠍⡒⢬⡑⠎⡴⢡⡑⢢⠍⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣋⠦⡑⢢⠚⣄⠫⠔⡑⢆⣲⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⡐⢎⠜⡡⢎⡱⢒⠥⣊⠕⣪⠱⣉⠖⡩⢜⡡⠞⠤⡓⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⡕⢢⡙⡘⢤⢃⠬⡑⢎⡰⢙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠓⡰⢢⠙⣢⢑⠢⢍⣊⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢟⡛⣛⠫⢍⠣⢥⡉⠖⠬⡑⣌⠲⣉⠲⠌⡜⡠⢓⠌⡎⡑⠦⣘⠩⣒⠡⡜⡰⣉⢛⡛⡻⢛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣥⣍⠢⢎⢒⡉⠦⡑⣃⠎⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⡡⢎⡱⢃⡱⢂⠎⣱⣾⣿⣿⣿⣿⣿⣿⣿⡿⣛⠫⣑⠪⣙⢢⠱⣨⢑⡊⡕⢢⠍⡜⡡⢎⠤⢓⠤⢣⠩⡔⣡⢃⠞⣠⠙⡔⣡⠣⣌⠱⢢⠱⢌⢆⡱⢡⢋⠲⡰⢌⡹⢛⢿⣿⣿⣿⣿⣿⣿⣿⣾⣄⠣⡜⣡⠓⡔⢪⡐⡹⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⡜⢡⠎⡔⢣⠢⢍⣾⣿⣿⣿⣿⣿⣿⡿⢟⡑⠦⣁⠳⢠⠓⡌⢆⠳⡐⢎⠴⣉⠦⣋⠔⡳⢌⢎⡱⢪⢅⠳⡘⢤⢋⠼⡰⣉⠖⣡⠓⣌⢣⢣⡙⡌⢦⡑⢣⢎⡱⢢⡑⢢⢍⡒⠬⠻⣿⣿⣿⣿⣿⣿⣿⣶⡡⢆⠹⣈⠥⢒⡱⢘⣳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⢃⡚⢌⡒⠜⣨⠱⣸⣾⣿⣿⣿⣿⣿⡿⢫⠜⡢⠜⢢⡑⣊⠥⠚⣌⠣⢃⠭⡌⡒⠥⡚⢄⡋⡔⢪⠰⣡⢃⠎⣡⠙⡤⢋⠲⡑⠬⡘⢤⡙⢤⢃⠦⣑⠸⡄⡙⢆⠎⡰⢡⠜⡡⢒⡌⣃⠳⣈⠿⣿⣿⣿⣿⣿⣿⣿⡬⡑⣌⠲⢡⠒⡥⠒⢿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⢅⠦⣑⢊⠴⠩⣄⠣⢻⣿⣿⣿⣿⡿⢫⠜⡡⢊⡅⣋⠲⢰⡁⢎⡱⢢⠙⣌⠲⢌⡑⢎⠱⣌⢒⡡⢣⢑⠢⡜⡘⠤⢓⡰⢉⠦⣉⠖⣉⠆⡜⡰⢊⠴⡨⡑⠬⣑⠪⠜⣡⠃⢎⡱⠌⡴⡈⡕⢢⠒⠬⣙⢿⣿⣿⣿⣿⡿⡑⠦⡑⢣⣉⠒⣍⢊⢶⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⣉⠖⡘⢤⡉⢎⡕⢢⡙⣌⢛⠿⢿⢫⢑⠣⡘⡔⢣⡘⢤⠙⣢⡜⠦⠶⠥⠭⠤⠗⣌⣒⡉⠖⡤⠣⢌⡱⢊⠵⣨⠱⡩⢆⡱⣉⠖⣡⠚⡤⢋⠴⣡⠋⡴⢡⣑⣃⠆⠧⠭⠤⠽⠦⢌⣱⢂⠵⢨⡑⢪⠱⡌⡜⠹⠿⢿⠛⡥⡑⢎⡱⢡⠦⡙⡔⣊⠌⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣃⠖⠬⣑⠢⢍⠲⢌⠣⡜⢠⠎⡜⢢⠎⣂⠧⣑⠸⣐⠜⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠚⢴⡉⢖⡰⢉⠦⣡⠣⡑⢎⡰⢡⢚⡡⠍⡔⠣⡜⣠⡹⠔⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠣⢬⠱⣘⠰⣡⢋⡜⠢⡍⠴⡉⢆⠥⢣⡘⡱⡘⢤⠩⢜⣧⠀⠀⠀ ⠀⠀⠀⠀⢸⡿⡐⢎⡱⢂⡍⢆⠓⡌⢣⠜⡡⢊⡔⢣⡘⡔⢢⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣌⠣⡜⠤⢣⢑⡊⡔⢃⠎⡔⣉⠲⣑⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢢⡓⡔⢢⠜⡡⠜⢢⠍⡒⢬⡁⠖⣡⠑⡎⡘⢆⢽⣇⠀⠀ ⠀⠀⠀⢀⠿⡱⢑⠪⡔⢣⠜⣌⠚⡬⡑⢎⠥⣃⠜⡤⠱⡨⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡌⢣⢃⠎⡴⢡⢋⡜⡰⣁⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢜⠆⢎⡑⢎⡱⢊⡕⡢⢜⡱⢢⡙⠴⡉⢎⡰⣿⡀⠀ ⠀⠀⠀⣸⡧⢱⢉⡒⢍⠦⡙⠤⢋⠴⣉⢎⡒⢌⠲⠌⡕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣢⠩⠜⡰⣉⠲⠌⣔⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⠢⢍⢢⡑⢣⠜⣑⠪⠔⡣⢜⡱⢘⢢⡑⢼⣇⠀ ⠀⠀⠀⣿⢣⢃⠎⡔⠪⡔⠩⡜⢡⠚⡐⠦⡘⠬⣑⠺⠁⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠈⢱⡡⢋⠴⡁⢎⡱⡌⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⢏⢆⠣⣌⠣⢜⡠⢣⢙⡐⢣⡘⢌⠦⡘⠬⣿⠀ ⠀⠀⢰⣾⠡⢎⡘⢬⠱⣌⠓⡬⡑⢎⠥⢣⡉⠖⡌⠇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣧⢉⠦⣉⠖⣰⠁⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠸⣊⠔⡢⢍⠲⣐⠣⡌⡜⡡⢜⠢⡜⢡⢃⢿⡧ ⠀⠀⢸⡏⡜⠤⣉⠦⡓⡌⢳⠰⣉⠎⡼⢡⢊⠕⣸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢇⡚⠴⣁⠚⣼⠄⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣧⢊⡕⢪⠱⡌⠳⡘⠴⣉⢎⡱⢌⡱⢌⢺⣧ ⠀⠀⠘⡷⣈⠖⡡⢎⠱⡘⢢⠱⢌⠚⡔⢣⡘⠬⣹⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⣎⠔⡣⢌⠓⣼⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⡧⢣⢌⠣⡱⢨⡑⣉⠖⡡⢎⠰⢊⡔⢊⡜⣿ ⠀⠀⢈⡷⣐⢊⡱⢌⡒⣉⢆⡓⠬⡱⣘⠢⣡⠓⠤⡇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⢯⡘⠴⡉⡜⡸⡀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢰⠥⢣⢌⠣⡜⣡⢒⡡⢎⠱⡨⢅⢣⡘⠆⡜⣯ ⠀⠀⠠⡗⣌⠒⡌⢦⠱⣊⠒⡬⠱⡑⢆⣳⣤⢿⡾⣽⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⠢⢜⢢⠱⣌⠱⢣⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣾⣟⡶⣮⣑⠲⡐⠦⡑⢪⠱⡑⢎⡒⣌⠚⡰⣿ ⠀⠀⢰⣏⠤⢋⠜⢢⠓⣌⠱⢂⢧⣽⣟⣳⢯⣟⣾⢳⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠣⡑⢎⡰⢃⡜⠌⡍⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢷⠾⣽⣳⡟⣿⣣⣓⠬⣡⠣⡙⢤⢃⡜⢌⡱⣿ ⠀⠀⢸⣧⢊⠱⡊⢥⠚⣄⢫⣼⣟⣞⡾⡽⣞⡾⣹⢯⣞⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢅⢣⡙⡰⢂⠣⢜⡘⣌⢒⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣏⣯⣟⣳⢷⣛⡷⣽⣫⢷⣠⢣⠙⡔⣊⠔⣊⢼⡟ ⠀⠀⠘⢷⡈⢇⠜⣢⠓⣬⣟⡷⢾⣹⢾⣝⡷⣻⡽⣛⣾⣛⣾⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢋⠴⣉⠖⡬⢱⡉⠞⡤⢓⡔⢊⢆⡹⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⡿⣽⣹⢶⣫⡽⡾⣽⣹⢶⡯⡿⣽⡆⡝⡰⢡⠚⠤⢿⡟ ⠀⠀⠀⣿⠜⡨⠜⢤⢣⣟⡾⣝⣯⡽⣾⣹⢞⡷⣽⣛⡾⣽⡞⣯⣻⢟⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⣊⠧⣑⠩⡒⠬⡘⡔⢣⡘⡱⢌⠣⡜⢡⠒⡔⢣⢌⢓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡾⣿⣹⣞⢷⣭⠷⣏⣷⣻⡵⢯⣳⡟⣽⣳⢿⡰⢡⢃⢎⣱⣿⡄ ⠀⠀⠀⣸⣏⠴⡉⢦⣹⣟⡾⣽⣲⢿⣱⢯⣟⣞⣧⢿⣱⢷⣛⣷⢫⣟⡾⣽⢯⣿⣻⢶⣶⣶⣶⠖⣫⠹⣉⢆⠳⡐⠦⣁⠓⡬⢑⡡⠚⣄⠲⣁⠎⡱⢌⡡⢓⡘⢆⠪⠜⢢⠱⣌⢫⠱⢲⣶⣶⣶⡶⣟⣿⡻⢯⡷⣻⡵⣛⣮⣟⣞⣻⡽⢶⢯⡽⣯⣳⣻⡝⣿⣞⣇⢣⢊⠴⣰⡟⠁ ⠀⠀⠀⠀⣯⢆⠱⣂⡿⣞⣳⢷⣫⢾⣽⣫⣞⢾⣺⣭⣟⡾⣽⣚⣟⣮⢟⣳⡟⣮⢷⣻⢞⣧⢿⡘⠤⢓⡰⢊⠖⣩⠒⡥⢋⡔⢣⠜⡱⢌⠲⡡⢎⡱⢢⡑⢎⡔⢪⠱⣉⢎⡱⢄⠦⡙⢆⣿⣳⣭⣟⡾⣵⣻⢯⠷⣯⣽⢻⡼⣞⣭⢷⣛⣯⢯⡷⣏⣷⢳⣻⣳⠾⣽⢂⠣⡌⣿⠉⠀ ⠀⠀⠀⠀⠘⣧⢃⠆⣻⡽⡽⣞⡽⢯⣶⢻⡼⣏⣷⢳⡾⡽⣶⣛⣮⡽⢯⣳⡟⣭⢷⢯⣟⡞⣿⣈⠳⢌⠒⣍⠚⡤⢋⡔⠣⡜⡡⠞⣑⠪⠱⡑⢎⠴⠣⢜⠢⡜⣡⢋⠴⡊⠴⣉⠖⡩⢆⡿⣧⣟⡼⣏⡷⢯⣞⠿⣵⡞⣯⡟⣽⣺⣭⢟⡾⣝⡾⣝⣞⡯⢷⣯⣻⡝⡌⡱⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⢿⡎⡜⠸⣿⣽⣹⡞⣟⣞⡯⢷⣻⡼⣏⣷⣻⡵⣻⡼⡽⢯⣗⣻⡽⣫⢾⣝⡾⡏⢤⠓⡌⢣⠌⣓⡘⠴⢨⡑⠦⣑⢩⢂⠭⡑⡜⢨⠎⣑⠪⢔⡡⢆⢩⠒⣉⠖⡌⠲⡑⣌⢹⡶⣯⡽⢾⡽⣛⣾⣛⣧⣟⣳⡟⣧⢷⣫⢾⣝⣻⣼⣻⡼⣻⡽⢶⢯⡓⢌⢥⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣌⢣⠹⣶⢯⡽⣏⡾⣽⢯⣳⡽⡽⡶⢯⣽⡳⣏⣿⢻⣼⡳⣟⡽⣏⡾⣝⡘⢦⡉⢖⡡⢚⠤⣘⠬⡡⢜⡒⣌⠲⣌⠲⡡⢎⠥⡚⢤⠓⡬⡐⢎⠦⡙⢤⠚⣌⠱⡘⢤⢃⣻⢷⡽⣛⡾⣽⡞⣽⢶⣫⢷⣻⣭⠿⣭⢷⣫⢷⣳⣏⡷⣯⢽⢯⠏⡜⣨⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢧⣣⢉⡝⣟⡾⡽⣽⢞⣭⢷⡻⣝⣟⣻⢶⡻⣽⢺⡟⣾⠽⣭⣟⢾⢝⠢⣍⢢⡑⠎⡔⢫⠜⣢⠣⡙⠦⠱⣌⠳⣈⠧⡑⢎⠲⣉⠦⡙⠴⣉⢎⠲⣉⢆⠫⡔⢫⡑⢎⠲⢄⡻⣽⢯⣽⡳⣽⣫⢾⣝⣻⡼⣞⣻⣭⡟⣭⣟⡶⣏⡷⢯⣯⠏⡜⣐⠿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣎⠰⢌⠻⣽⣳⡟⣾⣹⡽⣫⢾⡽⣞⣽⡳⣯⣻⣭⡟⣷⠞⡫⢌⠲⡐⠦⣘⠡⠎⢥⠚⣄⢣⡑⢎⡱⢨⡑⢢⠒⣍⠢⢣⠱⢌⡱⢊⠴⡈⠧⡘⢤⠓⡌⢆⠹⣈⠇⣊⠔⣊⠻⣾⣝⣷⣹⢯⣞⣳⢯⣽⢳⣞⣽⡳⣯⡽⢾⣹⠟⣡⠚⢤⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣇⠎⣑⢢⡙⠻⢧⣟⡾⣽⣳⣻⢾⣱⢿⣱⡷⠷⣋⠕⣊⠱⢌⡱⢌⡱⢨⠱⣉⠆⡣⢌⡒⢌⠲⠰⣁⠎⢥⠩⣄⠣⢃⠞⣠⠃⣍⢢⠱⡡⠍⡆⢍⠢⡍⣒⢡⠚⡤⣉⠦⡙⠬⡙⠶⣯⣷⣫⡽⡾⣭⣟⠾⣶⢻⡵⠟⣋⠦⡙⢤⢩⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣎⡔⡡⠜⣩⢒⠢⡍⢥⡡⢍⠎⡍⢭⡐⢆⠳⠌⡜⠤⣋⠦⣑⠎⡔⢣⡑⣦⣽⣶⣷⣾⣾⣷⣷⣾⣾⣶⣷⣶⣿⣾⣶⣷⣾⣶⣾⣷⣶⣿⣾⣮⣵⠰⢡⢎⡱⢢⡑⢎⡜⣡⡙⡒⡔⠢⡍⢭⠱⣉⠬⡍⢍⠲⢌⠳⡐⠦⣉⣦⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡡⢍⠴⢨⡑⠜⡤⠓⣌⠚⡌⢆⡜⢌⢣⡙⠤⢓⡰⡘⢤⠋⡴⠡⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠣⠜⣠⠣⠜⢢⡘⢤⠣⡑⡌⢓⡌⢆⠳⢌⡒⠜⡌⡱⢊⡱⢌⣱⡴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣮⠒⡥⡘⢜⡠⢋⠤⠓⣌⠒⡬⡘⢤⢊⡱⢊⡔⡑⣊⠱⡰⣉⠎⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣡⢋⡜⢄⢣⡙⠤⣑⢢⠱⢡⠎⡡⢜⡈⢖⡡⠜⡸⡐⠥⢃⠲⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⣴⡉⠦⡘⢥⢚⡱⢌⠳⡰⣉⠦⢣⠜⣡⠲⡱⢌⢣⠱⡐⢎⡰⢡⡒⣌⠲⣄⢣⠒⣌⠲⣄⢣⠒⣌⠲⣄⢣⠒⣌⠒⡤⢃⠖⡤⢃⡚⢄⠲⣘⠬⢆⡱⢣⠜⣢⠙⢦⡙⡔⢣⠜⡢⢅⡋⠴⢡⡙⣬⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣇⣍⢂⠇⡜⡨⢅⠓⡌⢎⡱⢊⠴⣁⠳⢌⢣⢃⢍⡒⢌⠥⡘⢤⢃⡒⢢⠍⡔⠣⡔⢊⡱⢂⡕⠢⢎⠱⡨⠱⢌⢣⠚⣄⠣⢜⡨⠱⣌⠚⢤⢃⡱⢊⡔⣋⠆⡱⢌⠣⢎⡑⠎⢬⠑⣦⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢮⡜⡰⠡⢎⠱⣘⠢⣑⠪⠔⣌⠲⡉⢆⠎⢢⠜⣨⠒⣉⠆⠦⣉⠦⣉⠬⡑⠬⣑⠰⢃⡌⢓⠬⡑⡌⢓⡌⢆⠣⡌⢜⠢⠜⣡⠢⡙⢢⠜⣠⠣⡘⢤⢊⡕⢪⠱⢌⢒⣩⡶⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣍⡜⠢⣅⠚⡤⢋⡜⢤⠓⡜⡌⢎⡱⢊⡴⣉⠖⣌⠳⡐⢦⡑⢎⠥⡓⣌⠳⡌⡜⣌⠲⡱⢌⠣⡜⣌⠲⣉⠦⡙⡜⢤⢣⡑⢣⠚⡤⢣⡙⢤⢃⠜⢢⡑⣮⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠽⠷⣤⡋⡴⢡⡘⢢⠙⡴⣉⠦⡑⢣⢢⡑⢮⡐⢣⢙⢢⢉⢎⠲⡱⢨⠱⡘⡔⢪⠱⡑⢪⠱⡘⢤⢓⡡⢎⠱⡘⢆⠣⡜⡡⢍⢢⠱⣘⠢⢎⣸⣽⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⢧⣌⣃⠞⡰⡐⠦⡙⠤⡃⡜⡄⢣⢃⠎⡤⢋⠬⣑⠢⣃⠥⢃⡜⢡⠓⠬⡑⢬⢑⡊⠦⡑⣌⢣⠩⡌⢣⠔⣑⠪⣔⣣⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠧⣼⣡⡎⡱⢘⠴⡘⢥⢊⡜⡐⢣⠜⡤⠓⣌⠲⣁⠎⢦⡙⠦⡙⢤⢊⡔⢣⡑⢢⢊⡱⢌⣥⣾⠴⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠐⠝⠟⠞⠶⣭⢦⣶⢨⣜⣡⣊⡴⣉⢤⡓⣄⠫⡔⣘⣆⣹⣄⡎⣴⣧⣮⠷⠷⠟⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠈⠁⠉⠈⠩⠙⠊⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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wtf is going on here bru ☠️🙏🏾

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🤔🤔🤨

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢂⠬⠰⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠊⠒⠛⠣⠦⠭⡲⠡⠠⠀⠀⠀⠀⠀⡪⡇⠃⠂⠇⠈⠍⠳⠤⡀⠀⠀⠍⠣⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⡈⠀⠀⠀⠀⠀⠐⠘⠅⢂⡀⠀⠀⠀⡍⠂⠀⠀⠀⠀⠀⠀⠀⠌⣂⠀⠀⠓⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠰⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⡀⣂⠀⡈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠂⡂⢀⠀⠛⡁⠀⠀⠀⠀⠀⠀ ⠀⠈⠁⡈⡄⠄⠀⠀⠀⠀⠀⠀⠀⠒⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠮⡍⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⠀⠀⠐⠅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⢐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⡓⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⠠⠀⠀⠀⠀⠀⠀⠁⡣⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡡⠀⠀⠀⠀⠓⡭⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡑⠂⠀⠀⠀⠀⠀⠀⢩⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡐⠀⠀⠀⠀⠀⠀⡒⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠉⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠠⠥⠁⠀⠀⠀⠀⠀⢀⢑⠠⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠈⡀⡀⠀⠀⠀⠀⠀⠁⠑⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡑⣓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⡂ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠐⢀⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢚⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠂⠖ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠂⠐⠀⠀⠀⠀⠀⠀⠀⠁⣢⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢧⣠⡀⠀⠀⢀⡠⠤⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡅⡣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠕⢤⣟⡗⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<( ⸝⸝•̀ - •́⸝⸝)>(,,>﹏<,,)

∘∘∘ ( °ࡇ° ) ?

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* ੈ( ´･･)ﾉ(._.`)⸜(｡˃ ᵕ ˂ )⸝˶ᵔ ᵕ ᵔ˶

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣶⣴⣾⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀ ⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠂⢀⣵⣿⣿⣿⣿⣿⣿⣿⣿ ⢈⣿⣿⣿⣿⣿⣿⣯⡀⠀⠈⠻⣿⣿⣿⠟⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⠛⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠿⢿⡻⠿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀

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bio template! ‧₊˚ ⋅ [name] ⋆⭒˚｡⋆ ⋆｡ﾟ☁︎｡ [gender]｡ ﾟ☾ ﾟ｡⋆ 🤎🧸🍂 [sexuality] ✩°. ⋆⸜ [favorite song] 🎶✮ ⋆｡‧˚ʚ🍓 [favorite music artist] ɞ˚‧｡⋆ ✮⋆˙

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⠋⢉⣉⣽⢉⡹⢯⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⡩⡽⣛⠭⡛⢭⠫⡝⢭⠫⡝⢭⠫⡝⡹⢍⡻⢝⠯⣍⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⢰⠋⡔⢫⡆⡱⢺⡘⡆⠀⠀⠀⠀⠀⠀⠀⢀⣤⠺⣍⠳⡱⢌⢣⡙⣌⡳⠘⠦⠝⡘⠢⠹⠬⠕⣪⡑⣎⠱⢎⡹⢓⣄⡀⠀⠀⠀⠀⠀⠀ ⡆⠐⡌⢲⠇⢣⡇⣗⠇⠀⠀⠀⠀⠀⢀⣴⢋⡖⡩⢆⢣⠵⠚⢈⠁⠄⠠⠐⠠⠀⠄⠂⠄⡐⠀⡀⠄⠉⠑⠫⢔⡫⢜⡹⢦⡀⠀⠀⠀⠀ ⢡⠃⡜⢸⠎⣡⠏⡼⠀⠀⠀⠀⠀⣴⠏⢦⠣⡜⡱⢊⡁⠂⠌⠠⡈⠄⡁⢂⠡⠈⡄⢁⠂⠄⠡⢀⠂⠡⢀⠂⡀⠁⡳⡸⢬⠹⣆⠀⠀⠀ ⢸⠐⡨⢸⡡⢸⢌⡇⠀⠀⠀⢀⡾⡑⢮⢡⡓⠡⠐⢂⠄⡑⣈⠡⠐⣈⠐⢂⡁⠒⡀⠆⡈⠤⢁⠂⠌⡐⢀⠂⢄⠡⢀⠈⠣⣹⡘⢷⡀⠀ ⠀⡧⠐⠡⢁⠎⣸⠀⠀⠀⢠⢟⡰⡙⢆⠏⠤⣁⠣⢈⠒⠄⢂⠢⠡⠐⡈⠤⠐⢡⣐⠄⠌⠰⡀⠌⡐⠠⠌⡐⢀⠂⠆⡈⠐⡈⢝⢦⢳⡀ ⠀⡧⢉⠆⡡⡘⣸⠀⠀⠀⣮⢣⢣⡙⡚⠌⡒⢄⠢⣁⣎⣬⣦⣧⣥⣧⣴⣦⣿⠿⢁⠌⡂⡑⢐⡈⠄⡃⡐⠈⢄⠁⢂⠘⢠⠐⡈⢎⢧⢳ ⠑⡧⢇⠬⣑⠰⣹⠀⠀⢸⢣⡓⢦⡱⣡⢎⡰⣈⠒⡬⣏⡝⡠⡐⢄⠂⢆⢢⠹⡔⡈⠤⢑⠨⡐⢄⠊⠔⠠⣭⡶⠿⡿⣿⠇⠢⠐⡈⣮⢍ ⡱⡘⣌⠲⣌⠱⣼⠀⠀⣯⠣⡜⢦⠳⣍⢮⠳⣅⣿⣷⣾⣶⣷⣾⣶⣿⣴⣬⣒⣽⢐⢂⠂⡡⠌⢢⠉⡔⠡⣁⠄⠄⡷⢨⢷⣁⠊⠤⢑⡎ ⣱⣗⢬⡓⡬⢳⡜⠀⠀⣧⠓⣍⠮⣙⢮⡚⡵⢬⢸⣧⡀⢿⣿⢿⣿⡿⠍⠙⠛⣿⢿⠇⢂⠡⠘⣀⠣⢔⡡⣂⣜⣢⣡⣃⡞⣥⢊⣰⢈⠞ ⠉⠙⠪⠵⠧⠞⠁⠀⠀⣟⠲⣉⠦⡛⢌⢣⡱⠬⠎⠿⣷⣌⠛⠚⠛⠁⠀⢠⣰⡟⢈⠐⡈⢄⠢⢹⣶⣾⢷⣿⣿⣿⡿⠿⠷⣿⣾⣯⠞⡴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢇⡳⢌⡱⢊⡜⢾⠒⣮⣔⢪⢉⠟⠳⠾⠶⡛⠛⡡⠐⣀⠒⡈⢄⠃⠤⢻⣌⡻⢿⣿⠿⠃⠀⠀⣰⡿⡙⡞⡰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⢦⡙⢦⡑⢣⠜⠢⡍⡔⢳⣝⡌⢌⠥⢋⡔⡡⠣⠔⡡⢂⠕⡰⢈⠜⡠⢃⡙⡹⢶⣤⣦⣴⡶⠿⡹⢡⢣⠱⡱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⢘⢥⢪⡑⢎⡱⡘⢤⠃⣯⡱⢮⣲⠅⣎⠱⣉⠖⣡⢋⠦⡱⢌⠲⡑⠦⣑⡎⢒⡐⢆⠲⢌⡱⢅⠣⡎⢅⣳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣎⢄⠣⠞⡤⢣⡑⢦⡉⢆⠽⣦⡀⠛⠚⠵⢇⣞⡡⢞⠲⣑⢎⡱⣩⠖⣹⢌⠣⢜⡨⢓⡌⢦⢩⡒⡹⣰⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⢊⠱⣌⠣⡜⢢⠜⣌⢒⡊⢕⢦⡁⠀⠂⠈⠈⠋⢉⠑⠚⢳⡖⠻⡍⠎⡜⠢⡅⢧⡘⢆⠣⡜⣵⠏⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠢⡀⢋⠴⣉⠎⣔⠢⢍⡳⣇⡮⢗⡢⢤⣀⣀⣂⣀⣨⡞⠬⡑⣌⠚⡌⠵⡘⢦⡙⡬⢋⡾⢃⡘⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣆⡡⠊⠴⣉⠦⣙⠢⡜⡨⢜⠣⠞⡭⢓⠤⣃⢎⡱⢨⠱⡘⢤⢋⡜⣡⡙⢦⢓⣼⡛⠤⠡⣰⠕ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢮⣐⠡⡚⢤⠳⣌⡱⣉⢎⡱⢌⢣⠚⡴⣈⠖⣡⢣⡙⢆⠧⡜⡡⢞⡴⢻⡣⡜⢦⣃⠹⣈ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠼⣂⡓⢦⠱⣌⠲⣑⢎⡥⣋⠴⣑⢎⡕⣢⠝⣬⣓⠼⠛⠁⠀⠀⠙⠾⢳⣭⣿⡭

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠔⠒⠒⠂⠀⠀⠀⠐⠒⠒⠢⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠉⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠈⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣦⣄⣀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣷⣦⣄⠀⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣧⣿⣿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠇⠀⠀⠀⣠⡤⠶⠶⢦⣤⣀⠈⢹⣿⣿⣿⣿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⠿⠋⢡⡖⠀⢠⠞⠅⠀⠀⠀⠀⠨⣝⣷⣄⢹⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⠿⠛⠋⠉⠀⢀⣠⣿⠃⠀⢸⣷⣤⣀⣀⣀⡀⠀⠀⠡⢿⣮⣿⣿⣿⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⢾⡟⠁⠀⠀⢸⣿⠈⠉⠉⢙⣿⣿⣿⣿⠛⠛⣿⢿⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⢀⣀⣤⣶⣿⣿⡍⠂⠘⣇⠀⠀⠀⠀⡟⡆⠄⠐⢿⣿⣿⣿⠏⠀⠀⣿⠀⠀⠙⢻⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⣗⠀⠀⠀⠀⠀⠀⢸⠀⣀⡤⣴⠚⠋⠁⢼⣿⣿⡿⠁⠀⢀⡇⠀⠀⠀⠀⠸⡽⡌⢆⠀⠈⠉⠁⠀⠀⠀⡟⠀⠀⠀⠀⢹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠛⣿⣇⣹⡤⠶⠶⠖⢛⣛⣛⠭⠭⠍⠉⠙⠀⠀⠀⠀⠙⢾⣦⣑⠠⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠌⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣛⡿⣿⣓⣒⣻⠿⠃⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⡴⠋⠙⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠶⢦⣴⡿⠯⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣧⠀⠀⢠⠞⠉⠉⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢯⣷⣾⣶⣶⣴⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠘⣆⠀⡏⠀⣤⡀⠀⣠⠞⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣉⣫⣭⣯⣉⣋⣩⣭⣿⠀⠀⠀⠀⠀⠀⠀⢠⡎⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠹⣶⠃⠀⠸⡿⣿⠁⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠘⠿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀ ⡴⡋⠁⠉⠓⠦⣄⣸⡆⠀⠀⠀⠉⠀⠄⠀⠳⣽⣆⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀ ⠻⢥⣀⠀⠀⠀⠀⠉⠻⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀ ⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠘⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢅⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠈⠑⢤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠈⠉⠒⠒⠤⠤⠤⠤⠤⠤⠤⠤⠤⠖⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢄⣀⣀⣀⣀⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠢⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠ ⠘⢿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡿⠃ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠋⠉⠉⠉⠉⠉⠙⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡝⠉⠙⠛⠛⠛⠛⠛⠛⠋⠹⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠉⠓⠒⠒⠒⠂⠈⢳⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿ ⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿ ⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⡀⠀⠀⠀⣀⡤⠖⠉⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⠄⠀⠉⠈⠀⠦⠜⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣶⣶⣶⣶⣶⣴⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢀⣠⣴⣿⣟⢿⠛⠟⡛⡛⠻⢛⠻⠿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣟⡿⠍⢍⠁⠊⠁⡐⠠⠁⠂⠀⠄⠁⠌⠡⠛⡛⠿⣿⣷⣦⡂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠍⠁⠁⠂⠁⠁⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠐⢁⠠⠁⡍⢻⢿⣿⣶⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⣿⣿⠳⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠡⠘⠄⢎⠿⢿⣿⣄⠀⠀⠀ ⠀⠀⠀⠈⣼⣿⡿⠏⠄⠀⠈⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠌⠂⡍⢻⢻⣿⣦⠀⠀ ⠀⠀⠀⢨⣿⢹⠅⡁⠁⠀⠀⠀⠀⠀⠄⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠅⣎⣿⣿⣧⡄ ⠠⠀⢰⣿⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢔⠹⣸⢿⣿⣁ ⠀⠀⢰⣿⢿⠀⡐⣤⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⠳⣹⣻⣿⡧ ⠀⠀⢀⣿⠉⣥⣸⣿⣿⣿⡇⠌⠀⠀⠀⠀⠡⠀⢀⢸⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡑⢪⣽⣿⣟ ⠀⠀⢘⣿⡒⡉⢽⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⠈⢼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡕⢪⡽⣿⡯ ⠀⠀⠉⣿⣜⠄⡈⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠙⠿⠟⠋⠁⠀⠈⠀⠀⠀⠀⠀⠀⠐⢠⠘⡭⣿⣿⡇ ⠀⠀⠈⢹⣷⠈⠁⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⠳⣸⣷⣿⠏ ⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⣀⣬⣔⣢⣆⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢡⠢⣝⣾⣿⠏⠀ ⠀⠀⠐⠀⠀⣿⣶⡔⠀⠖⣸⣿⣿⣿⣿⣿⢿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠐⢠⠣⣽⣿⣿⠟⠀⠀ ⠀⠀⠀⠈⠀⠀⠻⣛⣄⠰⢿⣿⣿⣿⣿⣽⣟⣾⣽⣿⣿⣷⠀⠀⠀⠀⢀⠀⡀⢐⠠⡘⣤⣿⣿⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠿⣖⣍⠻⠿⢟⠛⠏⠿⠿⢻⢿⣿⠟⠀⠀⡀⠂⢄⠐⡈⢆⣳⣚⣿⣿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣷⢤⣂⣠⢀⢠⡄⡀⣀⠂⡀⠄⡀⠄⡉⢦⣘⣶⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⠉⠉⠹⣮⣽⣴⣳⣵⣭⣽⣽⣬⣽⣿⡿⠿⠛⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠸⠻⠿⠿⠿⠻⠿⡼⠿⠿⠿⠛⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠇⢀⣀⣀⠀⡀⣀⣀⣀⢀⢀⢀⢀⢀⡀⢀⠀⠀⣀⡀⡀⠀⠀⢀⠀⡀⠀⢀⣿⣿⣿⠿⢿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢺⣯⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⡅⣿⣿⣿⠟⢁⣀⣀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠛⠻⣿⣿⡇⠀⠀⠀⠀⠈⢧⠀⡇⠀⠀⠀⠈⠳ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⡇⠛⠛⠛⠀⠺⢟⣿⡷⠀⣿⣿⣿⣿⡯⠤⢄⠀⠀⠈⠉⠉⠈⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠸⣄⡇⠀⠀⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⡁⠀⠀⠀⠀⠀⢻⠏⢁⣴⡿⠿⠿⠋⣠⣤⡀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⣇⣀⣀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⣅⠀⠀⠀⠀⠀⠙⠃⠈⢁⣤⣶⣤⣼⠏⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⣋⣩⣭⣝⣷⣦⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⡫⣻⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡧⠉⣀⣀⣀⣀⣀⠀⠀⢠⡿⠁⠀⠹⠛⣧⡆⣿⠀⢀⣀⣀⣀⣀⣀⣀⣠⣿⣱⡾⣿⣿⣿⢿⣷⡿⣧⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡏⠀⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢸⡏⠹⠿⣭⣍⡛⠷⣿⠄⠀⠀⠀⢰⠟⠀⣹⢦⣄⡀⠀⠀⠀⠀⠀⢸⣇⢿⣄⣸⣿⣄⣰⣿⠇⣿⠀⠀⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⣗⠀⣽⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠈⣧⠀⠀⢰⣟⡻⠆⠀⠀⠀⠀⠀⠀⣀⣤⠻⣇⡼⡗⠀⠒⠒⠒⠒⠒⢿⣄⢹⡿⣿⢿⡿⠁⣼⠏⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠋⠁⠉⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠏⢁⣀⣠⣈⣳⣤⣠⠟⠀⠀⠀⠰⡷⠀⠀⣀⠿⠿⠉⠀⣼⠃⠀⠀⠀⠀⠀⠀⠈⠛⢷⣥⣭⣭⣴⠿⠋⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠎⠀⣾⠉⠉⠉⣙⣻⣟⡀⠀⠀⢀⡠⠴⠚⠉⠀⠀⢀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⠔⠋⠀⠈⠹⣧⣶⣏⣁⣀⣀⣤⣤⣴⣶⢿⣽⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⡇⠀⠀ ⢷⣄⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀⠀⠀⠀⠀⢸⣯⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⡇⠀⠀ ⠀⠙⢷⣤⠀⠀⠠⡀⠀⣿⠀⠀⠀⠐⠀⠀⣾⣿⠉⢸⡇⠀⠈⠉⠙⠛⢻⣅⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⡇⠀⠀ ⠀⠀⠀⠙⢿⣦⡀⠹⠆⠸⣇⠀⠀⠀⠀⠘⣧⡿⢀⣾⢻⡆⠀⠀⠀⣀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡇⠀⠀ ⠀⠀⠀⣤⠖⠻⢿⣦⡴⠖⠻⣄⠀⠀⠀⠘⣿⣿⣟⣵⣟⠻⢾⣿⣿⡿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⣠⢤⣧⡤⠤ ⠀⠀⢸⣇⣾⣷⢈⣿⢰⣿⣷⢘⡷⢦⣤⣼⣇⣈⠉⣁⣙⣷⣄⠈⠙⠳⣾⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣤⣀⣀⡀⢰⡃⣐⣾⡇⠀ ⠀⠀⠈⡵⢋⡤⠞⢿⣦⣍⢁⣼⣁⣀⣀⡀⢻⡍⠉⣹⠏⠉⠙⢷⣄⣀⣈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣷⣿⣍⡉⠉⠉ ⠀⠀⢸⣇⣈⣉⣙⡇⢸⣇⡾⠉⠻⣿⣿⣿⣿⣿⣶⣿⣾⣿⣿⣾⣿⠽⠏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣶⣶ ⠀⠀⠈⠉⠉⠉⠀⠀⢈⡁⣀⣀⡀⣈⡻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠛

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⠀⠀⣀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠲⠧⡄⣀⡑⡀⣀⢀⢀⠀⡀⡀⠀⡀⠠⠀⠄⠀⠄⠀⠄⠄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀ ⠀⠀⠀⠀⠙⡅⠈⠁⠒⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡀⣀⣀⡀⣐⣒⠒⠤⠦⠦⠴⠤⠢⠄⠢⠠⠐⠂⠊⠒⢲⠀⠈ ⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣀⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣆⣀⣀⠀⠀⠀⣀⣀⠤⠒⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣀⢀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⢀⠠⠠⠄⠂⢺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠄⠄⠤⠀⠄⠠⠀⠂⠐⠀⠐⠀⠐⠀⠂⠀⠁⠈⠀⠁⠈⠀⠁⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠓⠒⠒⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠒⠒⠒⠚⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⠒⠒⠚⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⢠⠏⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠒⠒⠊⠉⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠑⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢢⠐⡄⠢⡐⢄⠒⡄⢣⢚⡬⢣⡽⣌⢧⣋⠿⣟⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⠢⠡⢌⠱⡈⢆⡘⢄⢃⢮⡱⣏⠶⣭⠶⣭⢳⣭⢳⣷⣔⠒⠒⠒⠒⠒⣈⣉⣥⣤⣴⣶⠶⠾⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣁⢃⠎⣒⠩⢆⡩⠜⣬⠳⣝⢮⡻⣜⣻⣜⣳⢮⣳⢧⡿⣶⡶⠾⠛⠛⠋⣉⡉⠀⠀⠀⠀⠒⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠈⠀⠐⠠⢌⠚⣄⢋⠦⣑⢫⢖⡻⣬⢳⡝⣾⡵⡾⣽⣳⢻⣞⢷⣫⢷⡖⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⢀⠈⢀⠠⠀⠂⠀⠁⠌⢢⠙⡤⢎⡺⢥⣛⢮⣳⣭⢷⣻⣳⢿⣽⣳⢯⣟⡾⣏⣿⣫⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠀⡀⢀⡀⢄⣀⣂⡰⠤⠦⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⢂⠀⠀⠀⡘⠤⣫⢔⡫⡜⣧⢏⡿⣼⣳⢯⡷⣯⣟⡾⣽⣻⢾⣽⣻⣞⣷⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⣡⣨⣆⣭⣥⣤⣶⠶⠾⠿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢁⠠⠀⠀⠀⠀⠰⢁⠒⡌⠲⡹⢜⣫⣽⢳⣭⠿⣽⣳⢯⣟⡷⣯⣟⣾⣳⣟⣾⢷⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠛⠃⠙⠉⠁⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠀⠀⣈⡵⢾⡹⣖⣳⡰⢩⠖⣭⢟⣞⡿⣳⣯⣟⡾⣽⣳⢯⣟⣷⡿⣽⣯⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠟⣣⣤⣿⣼⣿⣿⣿⣿⣘⠿⣜⣻⢧⡿⣼⣻⢧⣟⣿⣻⣼⣻⢧⣿⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣖⢲⣄⢠⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠰⠙⢏⠫⡑⢎⡽⣻⣿⣿⣿⣿⣽⢯⡿⣽⢷⣯⣟⡞⣧⡟⣼⢯⣟⣾⣽⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡜⠈⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⣡⣮⣵⣿⣾⣧⣳⢜⠻⣿⣿⣿⣿⣿⣟⣯⣿⣾⣽⣳⡽⣮⣟⣾⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⡗⠀⣤⠻⡋⠀⠀⠀⠀⠀⠀⠀⠀⢀⢶⡄⠀⠀⠀⣠⣒⣾⣿⣿⡿⠟⠛⠿⣿⣿⣿⣷⣶⣭⣻⣿⣿⣿⣯⣷⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡟⠁⣐⣛⡃⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠮⣽⣿⣿⣿⣵⠖⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⠏⣾⣿⣿⣿⣿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣴⣿⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⡽⣳⠿⡿⡏⢟⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠛⠿⢃⣼⣿⣿⣿⣿⣾⣿⣿⣿⣿⣔⣒⣒⣋⣦⣤⣤⣤⣤ ⠀⠀⠀⠀⢸⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠱⣈⠷⡥⢛⡰⢁⡢⣝⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⠿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣸⡄⠈⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⠒⡤⠓⣌⠱⢄⠣⣙⡼⣚⣿⣿⣿⣿⣿⣿⣿⣿⠟⡁⠂⠀⠈⠞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⣭⣷⣶⣶⡀⠀⠈⠙⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢈⡕⣲⣉⢦⡹⣌⡳⣜⡾⣟⣿⣾⣿⣿⠟⡛⠩⢄⢃⠀⠀⠀⠀⠹⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠿⣷⡀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢚⡵⣚⢶⡳⣭⢳⣭⠿⣝⣻⢫⠍⡅⢎⠰⣉⡆⠌⠠⠀⠀⠀⠢⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣏⡈⣘⢧⣿⡖⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⣫⠼⣝⡾⣵⢫⡟⣼⠻⣜⣣⢏⣾⣩⢆⠱⠨⠎⠁⠀⠀⠀⠀⡃⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⣿⢸⣾⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢢⢵⣫⡝⣾⢱⢣⠞⣥⢛⡬⣗⣻⣿⡙⠌⠀⠀⣀⠀⠀⠀⠀⠂⣏⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⣿⡞⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⣿⢶⡹⢆⠏⠦⡙⠤⣃⢾⣭⣿⣜⡿⠀⠀⠘⠬⣩⠑⡀⠀⠀⣇⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣧⢹⣇⡏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠰⣈⠟⡼⡉⢎⠐⠁⠒⠀⢊⣍⢻⢾⡑⠀⠀⠀⢀⡀⠄⠀⠒⢒⡼⣜⣶⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢸⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠀⠑⠀⠀⠀⠀⠀⠀⠈⡹⢞⣇⠀⣦⣶⣶⣾⣦⡀⣃⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡘⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⠀⠀⠀⠀⢀⠴⠀⠀⠀⠀⡐⠠⠭⣿⣿⣿⣿⣯⣉⣭⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⡟⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣴⠁⠀⠀⠀⢠⠀⡇⢩⢳⣼⡞⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣭⡶⠦⠧⠓⡩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⢠⡼⡃⢭⣖⣯⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠇⠀⠀⠰⠚⠀⠀⠀⠀⠀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣶⣙⣦⣝⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⠿⠿⠿⠿⠟⠛⠛⠛⠿⠿⠿⢿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠶⣦⣤⡀⠉⠻⢿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠉⠻⣦⡀⠀⠙⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⠆⠀⠈⢿⣿⣦⠀⠀⠀ ⠀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠀ ⢠⣿⡿⠀⠰⠾⠿⠶⣶⣤⣀⠀⠀⠀⢀⣤⠀⠻⣦⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠛⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀ ⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣦⡄⢻⣿⡆ ⣿⣿⣧⣿⣶⣶⣶⣾⣿⣾⣿⣿⣿⣿⡿⠿⠿⣿⡆⣀⣀⣾⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⢉⣿⡇⢿⣿⡇ ⣿⣿⡗⣿⣧⠈⢿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢠⣿⡯⢒⡥⢻⣿⡀⠀⠻⢿⣿⣿⣿⣿⠿⠛⠁⣠⣾⡿⡉⣾⣿⠁ ⢻⣿⣿⡘⣿⣷⣄⠙⠛⠛⠛⠛⠉⠁⣀⣴⣿⡟⠴⢩⠔⡋⢿⣿⣄⡀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⣰⢫⣿⡿⠀ ⠘⣿⣿⡴⣉⠿⣿⣿⣶⣶⣶⣶⣶⣿⠿⠛⢹⡧⠊⠔⠘⠀⠃⠙⠿⢿⣷⣶⣶⣶⣿⣿⡿⡻⢡⠞⣡⣾⡿⠁⠀ ⠀⠸⣿⣷⡎⡲⣙⢿⣟⠿⣯⣍⣀⡀⠀⠀⠀⡷⠀⠀⠀⠀⠀⣀⣠⣤⣶⡾⠛⣽⣷⠟⡵⢡⢋⣴⣿⡿⠃⠀⠀ ⠀⠀⠈⠻⣿⣥⢊⡌⢛⢷⣝⣮⠉⣹⢿⡟⠒⢿⠶⣶⣾⡛⠛⠋⠉⣱⠋⢛⣾⡿⢋⠞⣠⠃⣾⣾⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣷⣌⠜⠀⠉⠻⢿⣅⡀⢳⡀⢹⡴⠋⠈⠳⣆⢀⣼⣡⡴⠟⠁⠐⡡⢎⣤⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣷⣦⡀⠀⠀⠉⠛⠻⠿⣿⣧⣤⣤⣤⠾⠿⠛⠉⠀⠀⠀⣀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣶⣤⣀⣀⠀⠀⣇⠀⠀⠀⠀⠀⢀⣀⣠⣴⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⠉⠀⠀ hehe⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀